As valued by a rider with horse sense? (4)
I believe the answer is:
arab
'horse sense?' is the definition.
'arab' can be an answer for 'horse' (Arab is a type of horse). I'm not sure about the 'sense?' bit.
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for arab that I've seen before include "Horse of a breed originating in the Middle East" , "Someone from the Middle East or North Africa, perhaps" , "One from the Middle East or North Africa" , "Small, lively breed of horse" , "Saudi or Omani, perhaps" .)