Not quite finished bringing up fruit (6)
I believe the answer is:
raisin
'fruit' is the definition.
(raisin is a kind of fruit)
'not quite finished bringing up' is the wordplay.
'not quite finished' means to remove the last letter (most but not all of the word).
'bringing up' becomes 'raising' (raising is a kind of bringing up).
'raising' with its last letter taken off is 'RAISIN'.
(Other definitions for raisin that I've seen before include "Somewhat dry fruit" , "Dried red grape" , "Cultivating" , "Partially dried grape" , "Fruit for the Christmas cake" .)