Post-war churches retaining an opportunity of success, given effort (8,6)
I believe the answer is:
fighting chance
'opportunity of success given effort' is the definition.
(a chance to succeed if effort is made)
I don't understand the rest of the clue.
(Other definitions for fighting chance that I've seen before include "Decent prospect" , "A possibility of success if great effort is made" , "reasonable prospect" , "provided by Tweedledum's rattle?" , "Potential for success" .)