Italian dish not quite finished (4)
I believe the answer is:
past
'finished' is the definition.
(I've seen this in another clue)
'italian dish not quite' is the wordplay.
'italian dish' becomes 'pasta' (type of Italian food).
'not quite' means to remove the last letter.
'pasta' with its last letter taken away is 'PAST'.
(Other definitions for past that I've seen before include "tense" , "historical times" , "Second visitor in 5 [A CHRISTMAS CAROL]" , "Ended" , "The time that has elapsed" .)