The crossword solution for the term 'EGOTIST'S LOOK' is SMIRK, which is a five-letter word. A SMIRK is a facial expression that conveys a person's smugness or self-satisfaction. It is often seen as a sign of arrogance and conceit, which are traits commonly associated with an egotist. An egotist is someone who is excessively self-centered and overly concerned with their own interests and accomplishments. Therefore, an egotist's look could be described as a SMIRK.