Travelled round for riding competition (5)
I believe the answer is:
rodeo
'riding competition' is the definition.
(I've seen this in another clue)
'travelled round' is the wordplay.
'travelled' becomes 'rode' (eg travelled on a horse).
'round' becomes 'o' (round can mean a round object).
'rode'+'o'='RODEO'
'for' acts as a link.
(Other definitions for rodeo that I've seen before include "Originally, a round up of cattle" , "Wild West show" , "Cattle round-up" , "Cowboy competition, riding horses and bulls" , "Western show" .)