diff --git a/README.rst b/README.rst
index 75c60e6..7446240 100644
--- a/README.rst
+++ b/README.rst
@@ -201,6 +201,7 @@ Python bytecode. The following topics are currently covered:
 - Packaging (build files and folders)
 - Pytest (build files and folders)
 - Ruff (ruff cache folder)
+- Complexipy (complexity analysis of Python code) – *optional*
 - Jupyter (notebook checkpoints) – *optional*
 - Mypy (mypy cache folder) – *optional*
 - Pyright (pyright app cache folder) – *optional*
diff --git a/pyclean/cli.py b/pyclean/cli.py
index 206a5fe..954daee 100644
--- a/pyclean/cli.py
+++ b/pyclean/cli.py
@@ -19,7 +19,7 @@ def parse_arguments():
     Parse and handle CLI arguments.
     """
     debris_default_topics = ['cache', 'coverage', 'package', 'pytest', 'ruff']
-    debris_optional_topics = ['jupyter', 'mypy', 'pyright', 'tox']
+    debris_optional_topics = ['complexipy', 'jupyter', 'mypy', 'pyright', 'tox']
     debris_choices = ['all', *debris_default_topics, *debris_optional_topics]
     ignore_default_items = [
         '.git',
diff --git a/pyclean/debris.py b/pyclean/debris.py
index 413d6c5..5759eb6 100644
--- a/pyclean/debris.py
+++ b/pyclean/debris.py
@@ -19,6 +19,10 @@
         '.cache/**/*',
         '.cache/',
     ],
+    'complexipy': [
+        '.complexipy_cache/**/*',
+        '.complexipy_cache/',
+    ],
     'coverage': [
         '.coverage',
         'coverage.json',
diff --git a/tests/test_cli.py b/tests/test_cli.py
index af303f7..b6c39fa 100644
--- a/tests/test_cli.py
+++ b/tests/test_cli.py
@@ -121,7 +121,7 @@ def test_debris_optional_args():
     """
     expected_debris_options_help = (
         '(may be specified multiple times; '
-        'optional: all jupyter mypy pyright tox; '
+        'optional: all complexipy jupyter mypy pyright tox; '
         'default: cache coverage package pytest ruff)'
     )
 
@@ -144,6 +144,7 @@ def test_debris_all():
         'package',
         'pytest',
         'ruff',
+        'complexipy',
         'jupyter',
         'mypy',
         'pyright',
diff --git a/tests/test_debris.py b/tests/test_debris.py
index 0840cd3..9309891 100644
--- a/tests/test_debris.py
+++ b/tests/test_debris.py
@@ -53,11 +53,13 @@ def test_debris_option(mock_descend, mock_debris, mock_erase, options, scanned_t
     'debris_topic',
     [
         'cache',
+        'complexipy',
         'coverage',
-        'package',
-        'pytest',
         'jupyter',
         'mypy',
+        'package',
+        'pyright',
+        'pytest',
         'ruff',
         'tox',
     ],