… perhaps sacking clique obstructing church (5)
I believe the answer is:
cloth
'perhaps sacking' is the definition.
(I know that bagging is a type of cloth)
'clique obstructing church' is the wordplay.
'clique' becomes 'lot' (I can't justify this - if you can you should believe this answer much more).
'obstructing' means one lot of letters goes inside another (inserted letters interrupt or obstruct the word).
'church' becomes 'ch' (common abbreviation).
'lot' put within 'ch' is 'CLOTH'.
Can you help me to learn more?
(Other definitions for cloth that I've seen before include "ministers" , "The clergy" , "Sails" , "Gingham, say" , "Textiles" .)