Gregory is seen to be so self-centred (10)
I believe the answer is:
egocentric
'self-centred' is the definition.
('egocentric' can be a synonym of 'self-centred')
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for egocentric that I've seen before include "Self-absorbed" , "Self-seeking" , "Self-interested" , "Selfish" , "Self-centred person with little regard for others" .)