Briefly run some cricket team (6)
I believe the answer is:
rovers
'team' is the definition.
(Blackburn Rovers football team)
'briefly run some cricket' is the wordplay.
'briefly run' becomes 'r' (cricket abbreviation; 'briefly' asks for an abbreviation).
'some cricket' becomes 'overs' (over is a sequence of deliveries in cricket).
'r'+'overs'='ROVERS'
(Other definitions for rovers that I've seen before include "Wanderers - a soccer club?" , "Wanderers, wild in song" , "football team" , "Roamers" .)