Staff stay in? (5)

I believe the answer is:

baton

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'staff stay in?' is the definition.
'baton' can be an answer for 'staff' (I've seen this before). I am not certain of the 'stay in?' bit.

'staff stay in?' is the wordplay.
'staff' becomes 'bat'.
'stay in?' becomes 'on' (I am not sure about this - if you are sure you should believe this answer much more).
'bat'+'on'='BATON'

Can you help me to learn more?

(Other definitions for baton that I've seen before include "Police (or conductor's) stick" , "A stick for a conductor and policeman" , "Prohibition" , "Controller of players" , "Relay runner's stick" .)

I've seen this clue in The Guardian.

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