Cheat to run from church (6)
I believe the answer is:
fleece
'cheat' is the definition.
(fleecing is a kind of cheating)
'run from church' is the wordplay.
'run from' becomes 'flee' (I've seen this in another clue).
'church' becomes 'ce' (abbreviation for Church of England).
'flee'+'ce'='FLEECE'
'to' acts as a link.
(Other definitions for fleece that I've seen before include "Charge more than normal" , "Sheepskin - rook" , "Sheep's woollen coat" , "Defraud in woolly way" , "winter coat" .)