Letters an Irishman brought up (4)
I believe the answer is:
'letters' is the definition.
(I've seen this before)
'an irishman brought up' is the wordplay.
'an irishman' becomes 'liam' (common Irish name).
'brought up' is a reversal indicator (in a down clue, letters go up).
'liam' reversed gives 'MAIL'.
(Other definitions for mail that I've seen before include "Dispatch - armour" , "Post or body armour" , "Armour; posted items" , "Letters - armour" , "Eg, letters" .)