Crossword Genius

Trace of nudity in naughty bit broadcast? Certainly not (8,3)

Ross

I believe the answer is:

anything but

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'certainly not' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'trace of nudity in naughty bit broadcast?' is the wordplay.
'trace of' indicates taking the first letters.
'in' indicates putting letters inside.
'broadcast?' indicates anagramming the letters (letters scattered or cast around).
The initial letter of 'nudity' is 'n'.
'naughty'+'bit'='naughtybit'
'naughtybit' is an anagram of 'aythingbut'.
'n' going inside 'aythingbut' is 'ANYTHING BUT'.

Can you help me to learn more?

(Other definitions for anything but that I've seen before include "By no means, certainly not" , "Not in the least" .)

I've seen this clue in The Times.
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