With a stick, running in, set on the Chinese (9)

I believe the answer is:
cantonese
'set on the chinese' is the definition.
'cantonese' can be an answer for 'chinese' (Cantonese is an example). I'm not certain of the 'set on the' bit.
'with a stick running in' is the wordplay.
'with' indicates putting letters inside.
'a' becomes 'one'.
'stick' becomes 'cane' (cane is a kind of stick).
'running' becomes 'ts' (I can't justify this - if you can you should believe this answer much more).
'in' is an insertion indicator.
'cane' going around 'ts' is 'cantse'.
'one' going inside 'cantse' is 'CANTONESE'.
Can you help me to learn more?
(Other definitions for cantonese that I've seen before include "Asian language?" , "tongue" , "Chinese language" , "Oriental" , "Form of Chinese" .)