Take out old lover assigned to region (7)
I believe the answer is:
extract
'take out' is the definition.
('extract' can be a synonym of 'take out')
'old lover assigned to region' is the wordplay.
'old lover' becomes 'ex' (I've seen this in other clues).
'assigned to' is a charade indicator (letters next to each other).
'region' becomes 'tract' (tract is a kind of region).
'ex'+'tract'='EXTRACT'
(Other definitions for extract that I've seen before include "Short passage from a longer work" , "quarry" , "selection" , "Short passage (of text)" , "Draw or pull out" .)