Irishman and Oriental writing tiny play produced The Name of the Father (9)
I believe the answer is:
paternity
'the name of the father' is the definition.
I can't judge whether this defines the answer.
'irishman and oriental writing tiny play' is the wordplay.
'irishman' becomes 'pat'.
'and' is a charade indicator (letters next to each other).
'oriental' becomes 'e'.
'writing' becomes 'r' (I've seen this in other clues**).
'play' is an anagram indicator.
'tiny' anagrammed gives 'nity'.
'pat'+'e'+'r'+'nity'='PATERNITY'
'produced' is the link.
Can you help me to learn more?
(Other definitions for paternity that I've seen before include "Fatherhood" , "suit Mick Jagger would wear?" .)