A sprinter resolved to come out (9)
I believe the answer is:
transpire
'come out' is the definition.
(I've seen this before)
'a sprinter resolved' is the wordplay.
'resolved' indicates anagramming the letters.
'a'+'sprinter'='asprinter'
'asprinter' anagrammed gives 'TRANSPIRE'.
'to' acts as a link.
(Other definitions for transpire that I've seen before include "Terrapins (anag)" , "Lose water vapour" , "exhale" , "Turn out" , "Prove to be so, happen" .)