Agency supporters hang on to this sport (7)

I believe the answer is:

cycling

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'this sport' is the definition.
(cycling is a kind of sport)

'agency supporters hang on' is the wordplay.
'agency supporters' becomes 'cy' (I am not sure about this - if you are sure you should believe this answer much more).
'hang on' becomes 'cling' (I've seen this in another clue).
'cy'+'cling'='CYCLING'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for cycling that I've seen before include "Revolving" , "Moving on two wheels" , "Riding a bike" , "Going by bike" , "Repeating" .)

I've seen this clue in the Sydney Morning Herald.

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