Little sozzled (6)
I believe the answer is:
tiddly
I believe this clue is a double definition.
'little' is the first definition.
(I've seen this before)
'sozzled' is the second definition.
(synonyms)
(Other definitions for tiddly that I've seen before include "midget" , "Woozy" , "Tiny" , "Diminutive - drunk" , "Squiffy, pixilated" .)