Study music speed increasing, getting with it? (14)

I believe the answer is:

contemporising

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'it?' is the definition.
I can't judge whether this definition defines the answer.

'study music speed increasing getting' is the wordplay.
'study' becomes 'con' (con can informally mean to study).
'music speed' becomes 'tempo' (I can't explain this - if you can you should believe this answer much more).
'increasing' becomes 'rising' (similar in meaning).
'getting' says to put letters next to each other.
'con'+'tempo'+'rising'='CONTEMPORISING'

'with' is the link.

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I've seen this clue in The Times.

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