Father right next to the head (5)
I believe the answer is:
pater
'father' is the definition.
(old-fashioned term for father)
'right next to the head' is the wordplay.
'right next' becomes 'r' (I've seen this in other clues).
'to' means one lot of letters go next to another (I've seen this in other clues).
'the head' becomes 'pate' (I've seen this before**).
'r' after 'pate' is 'PATER'.
(Other definitions for pater that I've seen before include "Old man" , "A posh father, from Latin" , "Dad (Latin)" , "Our Father - . . . . . Noster" , "Taper away like father" .)