He has one corrected by a learner (4)
I believe the answer is:
noel
'he' is the definition.
'one corrected by a learner' is the wordplay.
'corrected' indicates anagramming the letters.
'by' is a charade indicator (letters next to each other).
'a learner' becomes 'l' (as in a learner driver with L-plates on their car).
'one' with letters rearranged gives 'noe'.
'noe'+'l'='NOEL'
'has' is the link.
(Other definitions for noel that I've seen before include "Coward who wrote and acted, d. 1973" , "A lone French Christmas" , "Religious festival" , "Sir - - Coward" , "Christmas; man's name" .)