Rider's carrier (9)
I believe the answer is:
saddlebag
'rider's carrier' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for saddlebag that I've seen before include "riding accessory" , "Rider's pouch" , "storage place for bicycles" , "one lying over the wheel?" , "Container for a cyclist or horse-rider" .)