Black dog is a member of high society (3-6)

I believe the answer is:

jet-setter

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But I can't explain it at all! Could you help me understand?

(Other definitions for jet-setter that I've seen before include "Person who travels widely and frequently for pleasure" , "Member of the rich and famous who travel widely" , "Rich and fashionable traveller" .)

I've seen this clue in The Mirror.

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