Italian man hasn't right name to claim benefits (4,2)
I believe the answer is:
sign on
'to claim benefits' is the definition.
I can't judge whether this defines the answer.
'italian man hasn't right name' is the wordplay.
'italian man' becomes 'signor' (I've seen this before).
'hasn't' suggests deleting specific letters.
'right' becomes 'r' (common abbreviation).
'name' becomes 'n' (common abbreviation e.g. on forms).
'signor' with 'r' removed is 'signo'.
'signo'+'n'='SIGN ON'
Can you help me to learn more?
(Other definitions for sign on that I've seen before include "Register oneself as for employment assistance" , "Register as for social welfare payments" , "'Register, for job-seeker's allowance, say (4,2)'" , "Enlist" , "Register, for unemployment benefit perhaps" .)