Take exception to unwrapped gifts (6)
I believe the answer is:
resent
'take exception to' is the definition.
(I've seen this before)
'unwrapped gifts' is the wordplay.
'unwrapped' indicates the central letters (the letters which wrap the word are removed).
'gifts' becomes 'presents' (present is a kind of gift).
The central letters of 'presents' are 'RESENT'.
(Other definitions for resent that I've seen before include "Feel bad about" , "Find objectionable" , "Feel bitter or envious" , "Don't like" , "Feel hurt, insulted, about" .)