Profligate deserted (9)
I believe the answer is:
abandoned
This clue is a double definition.
'profligate' is the first definition.
(I've seen this before)
'deserted' is the second definition.
('abandon' can be a synonym of 'desert')
(Other definitions for abandoned that I've seen before include "No longer inhabited and left desolate" , "Gave up - left - being completely irresponsible" , "Forsook, left behind" , "without any reservations at all" , "Wild" .)