Shun Italian man, no leader (6)
I believe the answer is:
ignore
'shun' is the definition.
'italian man no leader' is the wordplay.
'italian man' becomes 'signore' (Italian equivalent to mister).
'no leader' means to remove the first letter.
'signore' with its initial letter taken away is 'IGNORE'.
(Other definitions for ignore that I've seen before include "Pay no attention to, disregard" , "Slight" , "Brush off" , "Give no attention to" , "Deliberately take no notice" .)