Game one playing alone picked up (4,5)

I believe the answer is:

solo whist

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'game' is the definition.
(I've seen this before)

'one playing alone picked up' is the wordplay.
'one playing alone' becomes 'solo' (I've seen this in another clue).
'picked up' becomes 'whist' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'solo'+'whist'='SOLO WHIST'

Can you help me to learn more?

(Another definition for solo whist that I've seen is " game".)

I've seen this clue in The Sunday Times and The Times.

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