Drunk is mean (5)
I believe the answer is:
tight
I believe this clue is a double definition.
'drunk' is the first definition.
(slang term)
'is mean' is the second definition.
(both can mean miserly)
(Other definitions for tight that I've seen before include "It's not enough" , "Closely constrained, constricted" , "Close-fitting; cramped; mean" , "Unlikely to be choosing the present" , "reluctant to part with money" .)