Like the wind in parts of Kesteven! (4)

I believe the answer is:

keen

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'like' is the definition.
Both the definition and answer are adjectives. Perhaps you can see an association between them that I don't see?

I can't explain the rest of the clue.

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(Other definitions for keen that I've seen before include "Agog" , "Razor-edged" , "Fervent" , "Eager, enthusiastic" , "Anxious" .)

I've seen this clue in the Evening Standard.

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