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Cutting business, also changing name (5)

Ross

I believe the answer is:

salon

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'cutting business' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'also changing name' is the wordplay.
'changing' indicates anagramming the letters.
'name' becomes 'n' (common abbreviation e.g. on forms).
'also' with letters rearranged gives 'salo'.
'salo'+'n'='SALON'

Can you help me to learn more?

(Other definitions for salon that I've seen before include "Strange loans for a hairdresser, perhaps" , "(Room for) gathering of distinguished people" , "Establishment of, say, beauty specialist" , "Elegant room is great house for entertaining" , "beautician's premises" .)

I've seen this clue in The Independent.
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