diff --git a/people/migrations/0049_relationship_latest_by_timestamp.py b/people/migrations/0049_relationship_latest_by_timestamp.py
new file mode 100644
index 0000000..b2a2e0b
--- /dev/null
+++ b/people/migrations/0049_relationship_latest_by_timestamp.py
@@ -0,0 +1,37 @@
+# Generated by Django 2.2.10 on 2021-03-19 10:50
+
+from django.db import migrations
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('people', '0048_disciplines_and_organisations'),
+    ]
+
+    operations = [
+        migrations.AlterModelOptions(
+            name='organisationanswerset',
+            options={'get_latest_by': 'timestamp', 'ordering': ['timestamp']},
+        ),
+        migrations.AlterModelOptions(
+            name='organisationrelationship',
+            options={'get_latest_by': 'created'},
+        ),
+        migrations.AlterModelOptions(
+            name='organisationrelationshipanswerset',
+            options={'get_latest_by': 'timestamp', 'ordering': ['timestamp']},
+        ),
+        migrations.AlterModelOptions(
+            name='personanswerset',
+            options={'get_latest_by': 'timestamp', 'ordering': ['timestamp']},
+        ),
+        migrations.AlterModelOptions(
+            name='relationship',
+            options={'get_latest_by': 'created'},
+        ),
+        migrations.AlterModelOptions(
+            name='relationshipanswerset',
+            options={'get_latest_by': 'timestamp', 'ordering': ['timestamp']},
+        ),
+    ]
diff --git a/people/migrations/0050_relationship_remove_timestamps.py b/people/migrations/0050_relationship_remove_timestamps.py
new file mode 100644
index 0000000..f8ded05
--- /dev/null
+++ b/people/migrations/0050_relationship_remove_timestamps.py
@@ -0,0 +1,37 @@
+# Generated by Django 2.2.10 on 2021-03-19 11:09
+
+from django.db import migrations
+
+
+class Migration(migrations.Migration):
+
+    dependencies = [
+        ('people', '0049_relationship_latest_by_timestamp'),
+    ]
+
+    operations = [
+        migrations.AlterModelOptions(
+            name='organisationrelationship',
+            options={},
+        ),
+        migrations.RemoveField(
+            model_name='organisationrelationship',
+            name='created',
+        ),
+        migrations.RemoveField(
+            model_name='organisationrelationship',
+            name='expired',
+        ),
+        migrations.AlterModelOptions(
+            name='relationship',
+            options={},
+        ),
+        migrations.RemoveField(
+            model_name='relationship',
+            name='created',
+        ),
+        migrations.RemoveField(
+            model_name='relationship',
+            name='expired',
+        ),
+    ]
diff --git a/people/models/question.py b/people/models/question.py
index b8df075..4a5fe1a 100644
--- a/people/models/question.py
+++ b/people/models/question.py
@@ -124,6 +124,7 @@ class AnswerSet(models.Model):
         ordering = [
             'timestamp',
         ]
+        get_latest_by = 'timestamp'
 
     #: Entity to which this answer set belongs
     #: This foreign key must be added to each concrete subclass
@@ -145,6 +146,10 @@ class AnswerSet(models.Model):
                                               null=True,
                                               editable=False)
 
+    @property
+    def is_current(self) -> bool:
+        return self.replaced_timestamp is None
+
     def as_dict(self, answers: typing.Optional[typing.Dict[str, typing.Any]] = None):
         """Get the answers from this set as a dictionary for use in Form.initial."""
         if answers is None:
diff --git a/people/models/relationship.py b/people/models/relationship.py
index 8b41553..5123764 100644
--- a/people/models/relationship.py
+++ b/people/models/relationship.py
@@ -1,6 +1,6 @@
-"""
-Models describing relationships between people.
-"""
+"""Models describing relationships between people."""
+
+import typing
 
 from django.db import models
 from django.urls import reverse
@@ -59,15 +59,17 @@ class Relationship(models.Model):
                                blank=False,
                                null=False)
 
-    #: When was this relationship defined?
-    created = models.DateTimeField(auto_now_add=True)
+    @property
+    def current_answers(self) -> typing.Optional['RelationshipAnswerSet']:
+        answer_set = self.answer_sets.latest()
+        if answer_set.is_current:
+            return answer_set
 
-    #: When was this marked as expired?  Default None means it has not expired
-    expired = models.DateTimeField(blank=True, null=True)
+        return None
 
     @property
-    def current_answers(self) -> 'RelationshipAnswerSet':
-        return self.answer_sets.last()
+    def is_current(self) -> bool:
+        return self.current_answers is not None
 
     def get_absolute_url(self):
         return reverse('people:relationship.detail', kwargs={'pk': self.pk})
@@ -141,15 +143,17 @@ class OrganisationRelationship(models.Model):
         blank=False,
         null=False)
 
-    #: When was this relationship defined?
-    created = models.DateTimeField(auto_now_add=True)
+    @property
+    def current_answers(self) -> typing.Optional['OrganisationRelationshipAnswerSet']:
+        answer_set = self.answer_sets.latest()
+        if answer_set.is_current:
+            return answer_set
 
-    #: When was this marked as expired?  Default None means it has not expired
-    expired = models.DateTimeField(blank=True, null=True)
+        return None
 
     @property
-    def current_answers(self) -> 'OrganisationRelationshipAnswerSet':
-        return self.answer_sets.last()
+    def is_current(self) -> bool:
+        return self.current_answers is not None
 
     def get_absolute_url(self):
         return reverse('people:organisation.relationship.detail',
diff --git a/people/templates/people/person/detail_full.html b/people/templates/people/person/detail_full.html
index 39651b0..494e610 100644
--- a/people/templates/people/person/detail_full.html
+++ b/people/templates/people/person/detail_full.html
@@ -37,6 +37,14 @@
                     </a>
             {% endif %}
         </div>
+
+        {% if relationship %}
+            <div class="col-md-3">
+                <a class="btn btn-danger btn-block"
+                    href="{% url 'people:relationship.end' pk=relationship.pk %}">End Relationship
+                    </a>
+            </div>
+        {% endif %}
     </div>
 
     <hr>
diff --git a/people/templates/people/person/detail_partial.html b/people/templates/people/person/detail_partial.html
index ec9c04c..ff0b785 100644
--- a/people/templates/people/person/detail_partial.html
+++ b/people/templates/people/person/detail_partial.html
@@ -37,6 +37,14 @@
                     </a>
             {% endif %}
         </div>
+
+        {% if relationship %}
+            <div class="col-md-3">
+                <a class="btn btn-danger btn-block"
+                    href="{% url 'people:relationship.end' pk=relationship.pk %}">End Relationship
+                    </a>
+            </div>
+        {% endif %}
     </div>
 
     <hr>
diff --git a/people/templates/people/person/includes/relationships_full.html b/people/templates/people/person/includes/relationships_full.html
index 336e177..cc67d8b 100644
--- a/people/templates/people/person/includes/relationships_full.html
+++ b/people/templates/people/person/includes/relationships_full.html
@@ -13,7 +13,15 @@
             <tbody>
             {% for relationship in person.relationships_as_source.all %}
                 <tr>
-                    <td>{{ relationship.target }}</td>
+                    <td>
+                        {% if relationship.is_current %}
+                            {{ relationship.target }}
+                        {% else %}
+                            <del>
+                                {{ relationship.target }}
+                            </del>
+                        {% endif %}
+                    </td>
                     <td>
                         <a class="btn btn-sm btn-info"
                             href="{% url 'people:person.detail' pk=relationship.target.pk %}">Profile</a>
diff --git a/people/urls.py b/people/urls.py
index dcd49b6..e38621b 100644
--- a/people/urls.py
+++ b/people/urls.py
@@ -60,6 +60,10 @@ urlpatterns = [
          views.relationship.RelationshipUpdateView.as_view(),
          name='relationship.update'),
 
+    path('relationships/<int:pk>/end',
+         views.relationship.RelationshipEndView.as_view(),
+         name='relationship.end'),
+
     ################################
     # OrganisationRelationship views
     path('organisations/<int:organisation_pk>/relationships/create',
diff --git a/people/views/person.py b/people/views/person.py
index 498abf9..8735f73 100644
--- a/people/views/person.py
+++ b/people/views/person.py
@@ -44,8 +44,10 @@ class PersonListView(LoginRequiredMixin, ListView):
         existing_relationships = set()
         try:
             existing_relationships = set(
-                self.request.user.person.relationship_targets.values_list(
-                    'pk', flat=True))
+                self.request.user.person.relationships_as_source.filter(
+                    answer_sets__replaced_timestamp__isnull=True
+                ).values_list('target_id', flat=True)
+            )
 
         except ObjectDoesNotExist:
             # No linked Person yet
@@ -132,9 +134,12 @@ class ProfileView(LoginRequiredMixin, DetailView):
 
         context['relationship'] = None
         try:
-            context['relationship'] = models.Relationship.objects.get(
+            relationship = models.Relationship.objects.get(
                 source=self.request.user.person, target=self.object)
 
+            if relationship.is_current:
+                context['relationship'] = relationship
+
         except models.Relationship.DoesNotExist:
             pass
 
diff --git a/people/views/relationship.py b/people/views/relationship.py
index 692b9c4..3e638ec 100644
--- a/people/views/relationship.py
+++ b/people/views/relationship.py
@@ -6,6 +6,7 @@ from django.contrib.auth.mixins import LoginRequiredMixin
 from django.urls import reverse
 from django.utils import timezone
 from django.views.generic import DetailView, RedirectView, UpdateView
+from django.views.generic.detail import SingleObjectMixin
 
 from people import forms, models, permissions
 
@@ -91,6 +92,30 @@ class RelationshipUpdateView(permissions.UserIsLinkedPersonMixin, UpdateView):
         return self.object.get_absolute_url()
 
 
+class RelationshipEndView(permissions.UserIsLinkedPersonMixin,
+                          SingleObjectMixin, RedirectView):
+    """View for marking a relationship as ended.
+
+    Sets `replaced_timestamp` on all answer sets where this is currently null.
+    """
+    model = models.Relationship
+
+    def get_test_person(self) -> models.Person:
+        """Get the person instance which should be used for access control checks."""
+        return self.get_object().source
+
+    def get_redirect_url(self, *args, **kwargs):
+        """Mark any previous answer sets as replaced."""
+        now_date = timezone.now().date()
+        relationship = self.get_object()
+
+        relationship.answer_sets.filter(
+            replaced_timestamp__isnull=True).update(
+                replaced_timestamp=now_date)
+
+        return relationship.target.get_absolute_url()
+
+
 class OrganisationRelationshipDetailView(permissions.UserIsLinkedPersonMixin,
                                          DetailView):
     """View displaying details of an :class:`OrganisationRelationship`."""