So distant, a buzzer in private chamber? (7)

I believe the answer is:

aloofly

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'so distant' is the definition.

I can't explain the rest of the clue.

(Other definitions for aloofly that I've seen before include "in a cold manner?" , "How to disconnect, perhaps" , "Distantly" , "Keeping apart from" .)

I've seen this clue in The Times.

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