Small amount of stone to flog to church (8)
I believe the answer is:
pittance
'small amount' is the definition.
(I've seen this in another clue)
'stone to flog to church' is the wordplay.
'stone' becomes 'pit' (synonyms).
'to flog' becomes 'tan' (I've seen this in other clues).
'to church' becomes 'ce' (Church of England).
'pit'+'tan'+'ce'='PITTANCE'
'of' acts as a link.
(Other definitions for pittance that I've seen before include "tiny amount" , "Small, inadequate payment" , "minimum wage?" , "Miserable wage" , "Meagre allowance or wage" .)