Showing an exaggerated opinion of oneself (8)

I believe the answer is:

immodest

(Other definitions for immodest that I've seen before include "Bigheaded" , "Shamelessly indecent" , "Boastful, given to showing off" , "Lacking decency, shameless" , "Conceited or indecent" .)

I've seen this clue in The Guardian.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.