Better gets on convenient-sounding race (8)
I believe the answer is:
handicap
'race' is the definition.
(I've seen this before)
'better gets on convenient-sounding' is the wordplay.
I cannot quite understand how this works, but
'better' could be 'cap' (I've seen this before) and 'cap' is located in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for handicap that I've seen before include "advantage - or the opposite" , "Put at a disadvantage" , "Impairment" , "golfer's measure of skill" , "barrier" .)