Reportedly excluded Italian, a crook (6)
I believe the answer is:
bandit
'a crook' is the definition.
(bandit is a kind of crook)
'reportedly excluded italian' is the wordplay.
'reportedly' shows a homophone (sound like).
'excluded' becomes 'banned' (ban can mean to exclude).
'italian' becomes 'it' (abbreviation for Italian).
'banned' is a homophone of 'band'.
'band'+'it'='BANDIT'
(Other definitions for bandit that I've seen before include "hood" , "Armed robber in the Wild West" , "Armed outlaw" , "Crook" , "Member of a gang of robbers" .)