Dogs sometimes represent their own personality traits, such as principles, morality, loyalty and so on. Being chased by a dog may reflect an internal psychological conflict and cause anxiety and tension for yourself. In other words, I don't fully agree with some of my thoughts or behaviors.
The dream being chased is the expression of anxiety, anxiety and fear, so it implies that the dreamer has troubles and pressure in his heart. In addition, the chased dream also reflects an escape mentality.