Dirty word belies? Cut it out (10)

I believe the answer is:

bowdlerise

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

'cut it out' is the definition.
I can't tell whether this defines the answer.

'dirty word belies?' is the wordplay.
'dirty' is an anagram indicator.
'word'+'belies'='wordbelies'
'wordbelies' anagrammed gives 'BOWDLERISE'.

Can you help me to learn more?

(Other definitions for bowdlerise that I've seen before include "Censor" , "Expurgate the indelicate unnecessarily" , "Clean up" , "Cut" .)

I've seen this clue in The Independent.

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