Private escort that is arranged (8)

I believe the answer is:

esoteric

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'private' is the definition.
('esoteric' is associated in meaning with 'private')

I don't understand the remainder of the clue.

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(Other definitions for esoteric that I've seen before include "Occult" , "Abstruse, obscure" , "Secret; taught to few" , "'Abstruse, arcane (8)'" , "Taught to a select few" .)

I've seen this clue in The Globe and Mail and The Guardian.

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