Officer's on credit, we hear, from this church (6)
I believe the answer is:
coptic
'this church' is the definition.
(Coptic Church is an example)
'officer's on credit we hear' is the wordplay.
'officer' becomes 'cop' (cop is a kind of officer**).
'on' is a charade indicator (letters next to each other).
'credit' becomes 'tick' (I've seen this before).
'we hear' shows a homophone (sound like).
'tick' is a homophone of 'tic'.
'cop'+'tic'='COPTIC'
'from' is the link.
(Other definitions for coptic that I've seen before include "Sweet; fungus" , "Egyptian Christian church" , "Ancient church language" , "Ancient Christian church of Egypt" , "Egyptians in the past" .)