Continue to play, getting stick (5)
I believe the answer is:
baton
'stick' is the definition.
(term for a stick or staff)
'continue to play' is the wordplay.
'continue' becomes 'on' (I've seen this in other clues).
'to' means one lot of letters go next to another (I've seen this in other clues).
'play' becomes 'bat' (eg batting is playing cricket).
'on' put after 'bat' is 'BATON'.
'getting' acts as a link.
(Other definitions for baton that I've seen before include "Club, stick" , "Light wand" , "Short rod (that can be passed!)" , "It's used by a conductor and a policeman" , "weapon" .)