Hear cry distorted in sport (7)
I believe the answer is:
archery
'sport' is the definition.
(archery is a kind of sport)
'hear cry distorted' is the wordplay.
'distorted' is an anagram indicator.
'hear'+'cry'='hearcry'
'hearcry' anagrammed gives 'ARCHERY'.
'in' acts as a link.
(Other definitions for archery that I've seen before include "Bow and arrow sport" , "Bowmanship" , "Target sport - Olympic event in from 1900-08, in 1920 and since 1972" , "Sport of the bowman" , "The sport of shooting arrows with a bow" .)