To dream of a mime represents an aspect of yourself that is adept at impressing others with only the feeling of something being real. Awareness of yourself making elaborate projections of realness to keep others happy.
Positively, a mime may reflect making others feel good when there is nothing to show for it. Comforting others with stories or by using the imagination.
Negatively, a mime may reflect boasting or discussed expectations that have gone too far. Noticing yourself lying all the time to avoid embarrassment. Feeling good lying when there is nothing to show for it.
To dream of being chased by may reflect your fear of noticed as faker or that you will “suck” to someone who has expectations from you. Doing everything you can to avoid looking like a loser who tells lies to keep people liking you. Your fear of embarrassment of never being a real winner or living out your discussed potential.