Sort of value our 1p and 2p coins have? (8)

I believe the answer is:

nuisance

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'sort' is the definition.
The answer and definition can be both related to thinking as well as being singular nouns.
Maybe there's an association between them I don't understand?

I can't explain the rest of the clue.

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(Other definitions for nuisance that I've seen before include "Pest or irritation" , "Bothersome pest" , "Tiresome person or event" , "Thing causing annoyance" , "troublesome type" .)

I've seen this clue in the Evening Standard.

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