Distinguished gathering at the hairdresser's? (5)

I believe the answer is:

salon

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This clue might be a double definition.

'distinguished gathering' is the first definition.
'salon' can be an answer for 'gathering' (I have seen 'Literary gathering ' mean 'salon' so perhaps 'gathering' could also mean 'salon'). I am unsure of the 'distinguished' bit.

'at the hairdresser's?' is the second definition.

Can you help me to learn more?

(Other definitions for salon that I've seen before include "Beautician's establishment" , "Place of business for eg beautician" , "Parisian art exhibition" , "(Room for) gathering of distinguished people" , "Hairdresser's establishment" .)

I've seen this clue in The Guardian.

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