Mean to get one over the eight (5)
I believe the answer is:
tight
I believe this is a double definition.
'mean' is the first definition.
(both can mean miserly)
'one over the eight' is the second definition.
(both can mean drunk)
'to get' acts as a link.
(Other definitions for tight that I've seen before include "Firmly fastened; tense" , "Secretive, drunk (colloq.)" , "Snug" , "Unlikely to be choosing the present" , "Trim" .)