Irishman reading stuff current in newspaper? (7)

'irishman' is the definition.
(common Irish name)

'stuff current in newspaper?' is the wordplay.
'stuff' becomes 'pad' (padding is a kind of stuffing).
'current' becomes 'I' (symbol for electric current).
'in' means one lot of letters goes inside another.
'newspaper?' becomes 'rag' (informal term for a newspaper).
'i' placed inside 'rag' is 'raig'.
'pad'+'raig'='PADRAIG'

'reading' acts as a link.