A little Gavi, noxious wine (4)
I believe the answer is:
vino
'wine' is the definition.
(I know that wine can be written as vino)
'a little gavi noxious' is the wordplay.
'a little' says the answer is hidden in the clue (a little bit of the clue).
'VINO' is hidden in the letters of 'gavi noxious'.
(Other definitions for vino that I've seen before include "Italian or informal wine" , "Italian wine - any brand" , "Exotic wine" , "Cheap wine" , "In - veritas means alcohol promotes truth-telling" .)