Virginia member to improvise (4)
I believe the answer is:
vamp
'improvise' is the definition.
(thesaurus)
'virginia member' is the wordplay.
'virginia' becomes 'va' (US state abbreviation).
'member' becomes 'mp'.
'va'+'mp'='VAMP'
'to' acts as a link.
(Other definitions for vamp that I've seen before include "Predatory woman" , "Seductive woman - improvised accompaniment" , "Flirt" , "(In music) repeat phrase (until ready)" , "Seductive woman - passage of jazz" .)