Bishop managed church division (6)
I believe the answer is:
branch
'division' is the definition.
(I know that branch is a type of division)
'bishop managed church' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'managed' becomes 'ran' (both can mean organised or was in charge of).
'church' becomes 'ch' (abbreviation on maps etc).
'b'+'ran'+'ch'='BRANCH'
(Other definitions for branch that I've seen before include "Offshoot or subdivision" , "Fork of a main stem" , "Offshoot, subsidiary part" , "Part of organisation or tree" , "One shop of a chain" .)