Part of Greater Manchester in short religious book (6)
I believe the answer is:
eccles
This clue is a double definition.
'part of greater manchester' is the first definition.
(Greater Manchester town)
'short religious book' is the second definition.
(abbreviation for Ecclesiastes)
'in' acts as a link.
(Other definitions for eccles that I've seen before include "Town known for cake" , "Short book" , "Lancashire town" , "Town in Greater Manchester, selling its own cakes since 1793" , "Goons char.; - cake" .)