Crossword Genius

Break up dance partnership and offer to share profits (3,2)

Ross

I believe the answer is:

cut in

I'm a little stuck... Click here to teach me more about this clue!

'break up' is the definition.
(cutting in is a kind of breaking up)

'dance partnership and offer to share profits' is the wordplay.
I cannot quite see how this works, but
'and' could be 'n' (common abbreviation for 'and') and 'n' is located in the answer.
'share' could be 'cut' (cut is a kind of share) and 'cut' is located in the answer.
A single letter 'i' remains which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for cut in that I've seen before include "Interrupt someone speaking" , "drive dangerously" , "Interrupt; veer across another vehicle and take its space" , "Interrupt a conversation" , "join traffic dangerously" .)

I've seen this clue in The Globe and Mail.
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