Crossword Genius

Middle of rough part's cut really suddenly for a player (6)

Ross

I believe the answer is:

subito

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'suddenly for a player' is the definition.
I can't judge whether this defines the answer.

'middle of rough part's cut really' is the wordplay.
'middle of' indicates the central letters.
'part' becomes 'bit' (both mean a piece of something).
'cut' means one lot of letters goes inside another (some letters cut their way into a word).
'really' becomes 'so' (both can mean 'extremely').
The centre of 'rough' is 'u'.
'u'+'bit'='ubit'
'ubit' put within 'so' is 'SUBITO'.

Can you help me to learn more?

(Other definitions for subito that I've seen before include "(In music) suddenly" , "Suddenly musical" , "Immediately" .)

I've seen this clue in The Times.
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