Setting not right for celebrity (4)

I believe the answer is:

fame

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'for celebrity' is the definition.
(celebrity can mean the quality of being famous)

I cannot understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for fame that I've seen before include "Musical - stardom" , "Prominence" , "14 [BOWIE] recorded this" , "Notoriety or celebrity" , "''... is the spur that the clear spirit doth raise (Lycidas, John Milton)" .)

I've seen this clue in The Guardian.

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