Horse race (5)
'horse race' is the definition.
(steeplechase is a kind of horse race)
This is the entire clue.
(Other definitions for steeplechase that I've seen before include "Horse race with ditches and hedges" , "Non-flat horse race" , "run?" , "Running event over hurdles and water jumps" , "Maybe Grand National" .)
'horse race' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for derby that I've seen before include "... and after 8 [STATE = KENTUCKY] , meeting" , "Epsom 20" , "Hat, race and local match" , "Local contest" , "close match?" .)