Race of more than local interest? (8)
I believe the answer is:
national
'race' is the definition.
(horse race the Grand National)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for national that I've seen before include "Relating to a country" , "Relating to the state" , "trust of land owners" , "Of a country and its people" , "57-year-old carer needing care?" .)