Celebrity's debut curtailed (4)

I believe the answer is:

star

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'celebrity's' is the definition.
(a star is a celebrity or famous person)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for star that I've seen before include "A night light?" , "Celebrity in the world of entertainment" , "Celebrated performer" , "Five-pointed celestial body" , "Lead actor" .)

I've seen this clue in The Times.

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