Being so interested, it seems, is abnormal (7)

I believe the answer is:

curious

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'is abnormal' is the definition.
(thesaurus)

I don't understand the rest of the clue.

(Other definitions for curious that I've seen before include "Intrigued" , "Eager to learn something" , "Eager to know; strange" , "Keen to learn" , "Strange, unusual" .)

I've seen this clue in the Evening Standard.

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