Bit of loose skin covered up by Italian garment (6)
I believe the answer is:
agnail
'bit of loose skin' is the definition.
(another term for hangnail)
'covered up by italian garment' is the wordplay.
'AGNAIL' is hidden backwards in amongst the letters.
But, I'm not sure how the hidden word is indicated.
(Other definitions for agnail that I've seen before include "tear on index?" , "Torn skin" , "It may cause irritation to finger" .)