Ape is following Ms Church! (5)
I believe the answer is:
mimic
'ape' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for mimic that I've seen before include "Imitate for humorous reasons" , "Appear just like" , "Imitate in order to ridicule" , "Copy (voice, mannerisms)" , "Take (someone) off" .)