Foxtrot, lively dance, short and uninhibited (4)
I believe the answer is:
free
'uninhibited' is the definition.
(thesaurus)
'foxtrot lively dance short' is the wordplay.
'foxtrot' becomes 'f' (phonetic alphabet: alpha, bravo, charlie etc.).
'lively dance' becomes 'reel' (I've seen this before).
'short' means to remove the last letter.
'reel' with its final letter taken off is 'ree'.
'f'+'ree'='FREE'
'and' acts as a link.
(Other definitions for free that I've seen before include "Costing nothing" , "Unrestrained" , "Complimentary" , "Reef (anag.)" , "Out of bondage" .)