Religious house is too much for this priest (4)
I believe the answer is:
abbe
'this priest' is the definition.
(I've seen this before)
'religious house is too much' is the wordplay.
'religious house' becomes 'abbey' (I've seen this before).
'is too much' means to remove the last letter (not all of the word is needed).
'abbey' with its last letter taken away is 'ABBE'.
'for' is the link.
(Other definitions for abbe that I've seen before include "It's a French ecclesiastic, babe" , "French abbot" , "cleric in Paris" , "one such as Liszt" , "French clergyman" .)