Stripped in exotic act in nightclub (7)
I believe the answer is:
cabaret
'nightclub' is the definition.
(I've seen this before)
'stripped in exotic act' is the wordplay.
'stripped' becomes 'bare' ('bare' can be a synonym of 'stripped').
'in' indicates putting letters inside.
'exotic' indicates anagramming the letters.
'act' is an anagram of 'cat'.
'bare' inserted inside 'cat' is 'CABARET'.
'in' acts as a link.
(Other definitions for cabaret that I've seen before include "Film set in 1931 Berlin - floor show" , "Liza Minnelli's entertainment?" , "Evening entertainment as in nightclub" , "Floor show and name of great musical" , "Series of acts" .)