Gave up being promiscuous? (9)
I believe the answer is:
abandoned
This clue is a double definition.
'gave up' is the first definition.
('abandon' can be a synonym of 'give up')
'promiscuous?' is the second definition.
(thesaurus)
'being' acts as a link.
(Other definitions for abandoned that I've seen before include "Left desolate or empty" , "Forsook, left behind" , "No longer inhabited and left desolate" , "Rejected" , "Deserted; uninhibited" .)