Nude in an exotic act for the floor show (7)
I believe the answer is:
cabaret
'the floor show' is the definition.
('cabaret' can be a synonym of 'floor show')
'nude in an exotic act' is the wordplay.
'nude' becomes 'bare' (synonyms).
'in' is an insertion indicator.
'an exotic' indicates an anagram (an unusual form of the letters).
'act' is an anagram of 'cat'.
'bare' inserted within 'cat' is 'CABARET'.
'for' is the link.
(Other definitions for cabaret that I've seen before include "Stage show" , "Musical - nightclub entertainment" , "Variety entertainment" , "Floor show for Arab etc" , "Series of acts" .)