Mean to get sloshed (5)
I believe the answer is:
tight
I believe this is a double definition.
'mean' is the first definition.
(both can mean miserly)
'sloshed' is the second definition.
(I know that sloshed can be written as tight)
'to get' acts as a link.
(Other definitions for tight that I've seen before include "Secretive, drunk (colloq.)" , "Inebriated" , "Difficult and problematic" , "Hard to undo or open" , "Drunk; restricted" .)