Take out former lover, getting caught in Italian restaurant (7)
I believe the answer is:
extract
'take out' is the definition.
('extract' can be a synonym of 'take out')
'former lover getting caught in italian restaurant' is the wordplay.
'former lover' becomes 'ex'.
'getting' says to put letters next to each other.
'caught' becomes 'c' (cricket abbreviation).
'in' means one lot of letters goes inside another.
'italian restaurant' becomes 'trat' (I've seen this in other clues).
'c' put into 'trat' is 'tract'.
'ex'+'tract'='EXTRACT'
(Other definitions for extract that I've seen before include "Pull out - quotation" , "Part" , "Cutting" , "Derive, distil" , "Sample of larger work" .)