Very little drunk (6)
I believe the answer is:
tiddly
This clue is a double definition.
'very little' is the first definition.
(I've seen this before)
'drunk' is the second definition.
(thesaurus)
(Other definitions for tiddly that I've seen before include "Squiffy, pixilated" , "Merry" , "Tiny" , "drop of booze could make one this" , "Woozy" .)