Rejected players continuously

I believe the answer is:

castaway

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'rejected' is the definition.
('castaway' can be a synonym of 'rejected')

'players continuously' is the wordplay.
'players' becomes 'cast' (I've seen this before).
'continuously' becomes 'away' (I can't explain this - if you can you should give a lot more credence to this answer).
'cast'+'away'='CASTAWAY'

Can you help me to learn more?

(Other definitions for castaway that I've seen before include "One marooned on remote island" , "Eg, Robinson Crusoe" , "Stranded person" , "Tom Hanks movie" , "Desert island resident" .)

I've seen this clue in The Telegraph.

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