diff --git a/cmake/RunCleanerTest2.cmake b/cmake/RunCleanerTest2.cmake
new file mode 100644
index 0000000..d3b51e3
--- /dev/null
+++ b/cmake/RunCleanerTest2.cmake
@@ -0,0 +1,22 @@
+set (RUNS 3)
+
+foreach (iter RANGE 1 ${RUNS})
+  execute_process (COMMAND ${LOGCLEANUP} -log_dir=${TEST_DIR}
+    RESULT_VARIABLE _RESULT)
+
+  if (NOT _RESULT EQUAL 0)
+    message (FATAL_ERROR "Failed to run logcleanup_unittest (error: ${_RESULT})")
+  endif (NOT _RESULT EQUAL 0)
+
+  # Ensure the log files to have different modification timestamps such that
+  # exactly one log file remains at the end. Otherwise all log files will be
+  # retained.
+  execute_process (COMMAND ${CMAKE_COMMAND} -E sleep 1)
+endforeach (iter)
+
+file (GLOB LOG_FILES ${TEST_DIR}/test_cleanup_*.barfoo)
+list (LENGTH LOG_FILES NUM_FILES)
+
+if (NOT NUM_FILES EQUAL 1)
+  message (SEND_ERROR "Expected 1 log file in build directory ${TEST_DIR} but found ${NUM_FILES}")
+endif (NOT NUM_FILES EQUAL 1)