Remove people in sports day event (4,4)
I believe the answer is:
sack race
'sports day event' is the definition.
(I've seen this before)
'remove people' is the wordplay.
'remove' becomes 'sack' (sacking is a kind of removing).
'people' becomes 'race' (people can mean a national group or race).
'sack'+'race'='SACK-RACE'
'in' is the link.
(Other definitions for sack race that I've seen before include "athletics contest" , "sports day event" , "jumping event" , "Get rid of nation" , "event - with 10d" .)