Do many bets annoy? No way! (3,2,3,5)

I believe the answer is:

not by any means

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'do many bets annoy? no way' is the definition.
I can't judge whether this definition defines the answer.

'do many bets annoy?' is the wordplay.
'do' indicates anagramming the letters (solvers must work out or 'do' the anagram puzzle).
'many'+'bets'+'annoy'='manybetsannoy'
'manybetsannoy' with letters rearranged gives 'NOT BY ANY MEANS'.

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