The phrase "gotten someone's case" is an idiomatic expression that means criticizing, harassing, or provoking someone constantly. While the phrase itself is already a synonym for the aforementioned actions, there are other phrases that can be used interchangeably. These phrases include "riding someone," "hounding someone," "nagging someone," "getting on someone's back," or "picking on someone." These phrases all suggest the same idea of persistently bothering or aggravating someone until the point of frustration or anger. It's important to be mindful of our words and actions towards others to avoid "getting someone's case".