Girl is in sight, with potential to be cut up (9)

I believe the answer is:

divisible

'potential to be cut up' is the definition.

'girl is in sight' is the wordplay.
'girl' becomes 'di'.
'is in sight' becomes 'visible' ('visible' can be similar in meaning to 'in sight').
'di'+'visible'='DIVISIBLE'

'with' is the link.

(Another definition for divisible that I've seen is " Able to be separated".)

I've seen this clue in The Times.

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