He gives us one final tune (8)
I believe the answer is:
alastair
'he' is the definition.
'one final tune' is the wordplay.
'one' becomes 'a' (a thing is one thing).
'final' becomes 'last' (synonyms).
'tune' becomes 'air' (air can mean a piece of music).
'a'+'last'+'air'='ALASTAIR'
'gives us' is the link.
(Other definitions for alastair that I've seen before include "A Scots name" , "Scotsman?" .)