A tune that can grow on you? (3)

I believe the answer is:

air

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'a tune' is the definition.
(air can mean a piece of music)

I can't explain the remainder of the clue.

(Other definitions for air that I've seen before include "Broadcast; atmosphere" , "Bearing, manner" , "- brick; - bed; - brush" , "Simple composition" , "Broadcast; tune" .)

I've seen this clue in the Evening Standard.

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