Mean to get drunk (5)
I believe the answer is:
I believe this clue is a double definition.
'mean' is the first definition.
('tight' can be a synonym of 'mean')
'drunk' is the second definition.
(I've seen this before)
'to get' is the link.
(Other definitions for tight that I've seen before include "Stretched" , "Steaming" , "Hard to move; drunk" , "Sozzled; mean" , "reluctant to buy a round?" .)