Refuse to put one through to him (5)
I believe the answer is:
brian
'him' is the definition.
'refuse to put one through' is the wordplay.
'refuse to' becomes 'br' (I can't explain this - if you can you should believe this answer much more).
'put' is an insertion indicator.
'one' becomes 'a' (a thing is one thing).
'through' becomes 'in'.
'a' going into 'in' is 'ian'.
'br'+'ian'='BRIAN'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for brian that I've seen before include "- Boru, eleventh century Irish king" , "Chap" , "Havergal ---, composer; his Life, Pythons" , "He had a 1979 film "Life"!" , "-- Blessed; -- Eno" .)