Run away from Church in coat (6)
I believe the answer is:
fleece
'coat' is the definition.
(fleece is a kind of coat)
'run away from church' is the wordplay.
'run away from' becomes 'flee' (I've seen this before).
'church' becomes 'ce' (abbreviation for Church of England**).
'flee'+'ce'='FLEECE'
'in' is the link.
(Other definitions for fleece that I've seen before include "Swindle - wool removed from sheep" , "A sheep's wool coating" , "Animal coat - charge exorbitantly" , "Defraud in woolly way" , "Jason sought the Golden one" .)