River Song possessed a psychic cloak similar in function to her psychic wimple. She gave it to the Eighth Doctor to disguise himself as the Clocksmith (AUDIO: The Crucible of Souls) and he later used it to disguise himself as the Eleven. However, he was exposed and Padrac tore the cloak in two. (AUDIO: Stop the Clock)
The Monk later disguised herself as a pastor using one such cloak. (AUDIO: Buying Time, The Wrong Woman)