Caller putting Italian in shade (7)
I believe the answer is:
visitor
'caller' is the definition.
(someone calling on someone else)
'italian in shade' is the wordplay.
'italian' becomes 'it' (abbreviation for Italian).
'in' indicates putting letters inside.
'shade' becomes 'visor' (I've seen this in another clue).
'it' put within 'visor' is 'VISITOR'.
'putting' is the link.
(Other definitions for visitor that I've seen before include "Seasonal migratory bird" , "One coming to call" , "Someone calling (again at 23?)" , "who might stay?" , "Caller, guest" .)