Take no notice of topless Italian gentleman (6)
I believe the answer is:
ignore
'take no notice of' is the definition.
(I've seen this before)
'topless italian gentleman' is the wordplay.
'topless' means to remove the first letter.
'italian gentleman' becomes 'signore'.
'signore' with its first letter taken off is 'IGNORE'.
(Other definitions for ignore that I've seen before include "Discount" , "Fail to notice (6)" , "Give no attention to" , "Fail to observe" , "Neglect" .)