A new racket followed by broadcaster, getting behind king’s painter (9)
I believe the answer is:
kandinsky
'behind king's painter' is the definition.
The definition suggests a singular noun which matches the answer.
'a new racket followed by broadcaster' is the wordplay.
'a new' becomes 'kan' (I can't explain this - if you can you should believe this answer much more).
'racket' becomes 'din' (both can mean a loud noise or disturbance).
'followed by' means one lot of letters go next to another.
'broadcaster' becomes 'sky' (Sky is a broadcast TV channel).
'kan'+'din'+'sky'='KANDINSKY'
'getting' is the link.
Can you help me to learn more?
(Other definitions for kandinsky that I've seen before include "Artist" , "Wassily --, painter born in Moscow" .)