Gave up and left (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')
'left' is the second definition.
(abandoning is a kind of leaving)
'and' acts as a link.
(Other definitions for abandoned that I've seen before include "Gave up - left - being completely irresponsible" , "Left desolate or empty" , "Profligate - gave up - left" , "Deserted; uninhibited" , "Dropped" .)