Take out old religious pamphlet (7)
I believe the answer is:
extract
'take out' is the definition.
('extract' can be a synonym of 'take out')
'old religious pamphlet' is the wordplay.
'old' becomes 'ex'.
'religious pamphlet' becomes 'tract' (I've seen this before).
'ex'+'tract'='EXTRACT'
(Other definitions for extract that I've seen before include "Short sample" , "Remove by force" , "(Piece) remove(d)" , "Pull out - quotation" , "Draw out; excerpt" .)