Unimportant, yet possibly of some prominence? (5)

I believe the answer is:

minor

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'unimportant' is the definition.
(I've seen this in another clue)

I can't explain the remainder of the clue.

(Other definitions for minor that I've seen before include "Of less importance" , "Young person below voting age" , "Of small importance" , "Person not yet of legal age" , "Slight; little known" .)

I've seen this clue in the Evening Standard.

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