A couple of big-headed people (5)
I believe the answer is:
brace
'a couple' is the definition.
(brace can mean a pair of something)
'big-headed people' is the wordplay.
'big-headed' becomes 'b' (this might be a standard abbreviation which I don't know about).
'people' becomes 'race' (people can mean a national group or race).
'b'+'race'='BRACE'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for brace that I've seen before include "Stiffen; pair" , "Teeth straightener" , "A pair as of game birds" , "Carpenter's tool for a pair" , "Stanchion" .)