Angry brawler pays Rob to do a Bronx cheer (4,1,9)

I believe the answer is:

blow a raspberry

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'do a bronx cheer' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'angry brawler pays rob' is the wordplay.
'angry' indicates anagramming the letters.
'brawler'+'pays'+'rob'='brawlerpaysrob'
'brawlerpaysrob' anagrammed gives 'BLOW A RASPBERRY'.

'to' acts as a link.

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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