Team race (5)
(Other definitions for relay that I've seen before include "Broadcast" , "article in bank" , "Team of workers" , "supplementary store of anything" , "Receive and pass on - race" .)
(Other definitions for derby that I've seen before include "Local game" , "confrontation between neighbours" , "Midlands city" , "China" , "... and after 8 [STATE = KENTUCKY] , meeting" .)