diff --git a/referencing/tests/test_core.py b/referencing/tests/test_core.py
index 5704f62..428e461 100644
--- a/referencing/tests/test_core.py
+++ b/referencing/tests/test_core.py
@@ -673,56 +673,8 @@ def test_lookup_non_existent_anchor(self):
             anchor="noSuchAnchor",
         )
 
-    # FIXME: Ideally there'd be some way to represent the tests below in the
-    #        referencing suite, but I can't think of ways to do so yet.
-
-    def test_multiple_lookup(self):
-        """
-        Continuing to lookup resources maintains the new base URI.
-        """
-        registry = Registry(
-            {
-                "http://example.com/": Resource.opaque({}),
-                "http://example.com/foo/": Resource.opaque({"foo": "bar"}),
-                "http://example.com/foo/bar": Resource.opaque({"baz": "quux"}),
-            },
-        )
-
-        resolver = registry.resolver()
-        first = resolver.lookup("http://example.com/")
-        assert first.contents == {}
-
-        second = first.resolver.lookup("foo/")
-        assert second.contents == {"foo": "bar"}
-
-        third = second.resolver.lookup("bar")
-        assert third.contents == {"baz": "quux"}
-
-    def test_multiple_lookup_pointer(self):
-        registry = Registry(
-            {
-                "http://example.com/": Resource.opaque({}),
-                "http://example.com/foo/": Resource.opaque({"foo": "bar"}),
-            },
-        )
-
-        resolver = registry.resolver()
-        first = resolver.lookup("http://example.com/foo/")
-        assert first.contents == {"foo": "bar"}
-
-        second = first.resolver.lookup("#/foo")
-        assert second.contents == "bar"
-
-    def test_multiple_lookup_anchor(self):
-        root = ID_AND_CHILDREN.create_resource({"anchors": {"foo": 12}})
-        registry = Registry().with_resource("http://example.com/", root)
-
-        resolver = registry.resolver()
-        first = resolver.lookup("http://example.com/")
-        assert first.contents == {"anchors": {"foo": 12}}
-
-        second = first.resolver.lookup("#foo")
-        assert second.contents == 12
+    # FIXME: The tests below aren't really representable in the current
+    #        suite, though we should probably think of ways to do so.
 
     def test_in_subresource(self):
         root = ID_AND_CHILDREN.create_resource(
diff --git a/referencing/tests/test_referencing_suite.py b/referencing/tests/test_referencing_suite.py
index ae70776..4603b09 100644
--- a/referencing/tests/test_referencing_suite.py
+++ b/referencing/tests/test_referencing_suite.py
@@ -35,7 +35,7 @@ def __str__(self):
         for each in SUITE.glob("*/**/*.json")
     ],
 )
-def test_referencing_suite(test_path):
+def test_referencing_suite(test_path, subtests):
     dialect_id = DIALECT_IDS[test_path.relative_to(SUITE).parts[0]]
     specification = referencing.jsonschema.specification_with(dialect_id)
     loaded = json.loads(test_path.read_text())
@@ -45,10 +45,19 @@ def test_referencing_suite(test_path):
         for uri, contents in loaded["registry"].items()
     )
     for test in loaded["tests"]:
-        resolver = registry.resolver(base_uri=test.get("base_uri", ""))
-
-        if test.get("error"):
-            with pytest.raises(Unresolvable):
-                resolver.lookup(test["ref"])
-        else:
-            assert resolver.lookup(test["ref"]).contents == test["target"]
+        with subtests.test(test=test):
+            resolver = registry.resolver(base_uri=test.get("base_uri", ""))
+
+            if test.get("error"):
+                with pytest.raises(Unresolvable):
+                    resolver.lookup(test["ref"])
+            else:
+                resolved = resolver.lookup(test["ref"])
+                assert resolved.contents == test["target"]
+
+                then = test.get("then")
+                while then:
+                    with subtests.test(test=test, then=then):
+                        resolved = resolved.resolver.lookup(then["ref"])
+                        assert resolved.contents == then["target"]
+                    then = then.get("then")
diff --git a/suite b/suite
index 32f62ab..75a7772 160000
--- a/suite
+++ b/suite
@@ -1 +1 @@
-Subproject commit 32f62ab50f9b1e992ae8d7fe3358f11c52d88bec
+Subproject commit 75a777262f8741c9f62079f793b89f693bd50fb7
diff --git a/test-requirements.in b/test-requirements.in
index 8b8da91..5ae98d8 100644
--- a/test-requirements.in
+++ b/test-requirements.in
@@ -1,2 +1,3 @@
 file:.#egg=referencing
 pytest
+pytest-subtests
diff --git a/test-requirements.txt b/test-requirements.txt
index eb65166..72b6c1c 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -7,6 +7,7 @@
 attrs==22.2.0
     # via
     #   pytest
+    #   pytest-subtests
     #   referencing
 iniconfig==2.0.0
     # via pytest
@@ -17,6 +18,10 @@ pluggy==1.0.0
 pyrsistent==0.19.3
     # via referencing
 pytest==7.2.1
+    # via
+    #   -r test-requirements.in
+    #   pytest-subtests
+pytest-subtests==0.10.0
     # via -r test-requirements.in
 file:.#egg=referencing
     # via -r test-requirements.in