People's competition (4)
I believe the answer is:
race
This clue is a double definition.
'people's' is the first definition.
'competition' is the second definition.
(race is a kind of competition)
(Other definitions for race that I've seen before include "Running contest" , "Run; nation" , "Competitive speed trial" , "The ... is not to the swift (Bible)" , "People; dash" .)