See about the Italian, overindulged (6)
I believe the answer is:
spoilt
'overindulged' is the definition.
(I've seen this before)
'see about the italian' is the wordplay.
'see' becomes 'spot' (to spot is to notice or catch sight of).
'about' is an insertion indicator.
'the italian' becomes 'il' ('the' in Italian).
'spot' going around 'il' is 'SPOILT'.
(Other definitions for spoilt that I've seen before include "Ruined" , "injured" , "Went off" , "Indulged" , "Destroyed the value of" .)