In Korean tradition, dreaming of chased by an animal is read as inauspicious. It is most often tied to 전반, 건강.
Being chased by a beast is a dreaded matter closing in — escaping, the crisis passed; caught, the time to face it.
Tradition reads the symbol as an omen; psychology reads the same dream as a mirror of your present state. Describe your dream and both readings appear together. Interpret your dream