What does it mean when you dream that cows are chasing you?

Chase dreams indicate that the dreamer is avoiding a problem. Such dreams tend to recur until the situation is resolved. In this dream, the "cow" could have different symbolic meanings depending on the dreamer's culture. For example, a person from India might view a cow quite differently than a person from Texas in the U.S.

... Generally speaking, a cow is a benign domestic female animal that provides many forms of nutritious sustenance. So this dream might involve a person or thing the dreamer ordinarily views as harmless and beneficial that has become unexpectedly hostile and threatening.