Keen on badminton, to some extent (4)

I believe the answer is:

into

'keen on' is the definition.
(if you're 'into' something you're keen on it)

'badminton to some extent' is the wordplay.
'to some extent' indicates the answer is hidden within the clue.
'INTO' is hidden in the letters of 'badminton'.

(Other definitions for into that I've seen before include "To a position within" , "Showing enthusiasm for" , "Taking an active and lively interest (in something)" , "Curious about" , "To a position inside" .)

I've seen this clue in The Times.

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