Playing group, girl cut card (6,4)

I believe the answer is:

bridge club

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'playing group girl' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'cut card' is the wordplay.
'cut' becomes 'bridge' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'card' becomes 'club' (the clubs are a playing card suit).
'bridge'+'club'='BRIDGE CLUB'

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I've seen this clue in The Times.

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