Whip about nude in variety show (7)

I believe the answer is:

cabaret

I'm a little stuck... Click here to teach me more about this clue!

'variety show' is the definition.
'cabaret' can be an answer for 'show' (cabaret is a kind of show). I am not sure about the 'variety' bit.

'whip about nude' is the wordplay.
'whip' becomes 'cat' (cat o' nine tails, cat for short is a type of whip).
'about' means one lot of letters goes inside another.
'nude' becomes 'bare' (synonyms).
'cat' enclosing 'bare' is 'CABARET'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for cabaret that I've seen before include "Entertainment provided in a nightclub" , "Variety entertainment" , "Film set in 1931 Berlin - floor show" , "Entertainment at night club" , "Floor show and name of great musical" .)

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

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