They might be inflated (4)
I believe the answer is:
egos
'they might be inflated' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for egos that I've seen before include "feelings of self-importance" , "Self-images" , "Lots of self-esteem" , "People's personal pride - the parts of them that are conscious" .)