Crossword Genius

Carry on playing for the club (5)

Ross

I believe the answer is:

baton

I'm a little stuck... Click here to teach me more about this clue!

'club' is the definition.
(I know that baton is a type of club)

'carry on playing for the' is the wordplay.
'carry on' becomes 'ba' (I can't explain this - if you can you should believe this answer much more).
'playing' becomes 'on' (on can mean playing or performing).
'for' says to put letters next to each other (I've seen this in other clues).
'the' becomes 't' (the is pronounced as a 't' sound in some dialects).
'on' after 't' is 'ton'.
'ba'+'ton'='BATON'

Can you help me to learn more?

(Other definitions for baton that I've seen before include "Relay race stick" , "A stick for a conductor and policeman" , "Light wand" , "one watched by players" , "Club, stick" .)

I've seen this clue in The Globe and Mail.
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