Big-headed sorts (8)
I believe the answer is:
egotists
'big-headed sorts' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for egotists that I've seen before include "Conceited and self-centered people" , "They have an exaggerated sense of their own importance" , "The selfish" , "Self-centred self-seekers" , "People with exaggerated notions of their own importance" .)