Overpursue is a verb that means to chase after something with excessive zeal or determination. Some synonyms for this word could include insist, persist, or persevere. Other words that could be used as synonyms for overpursue might include doggedly, fiercely, or relentlessly. These words all denote the tendency to stay focused on a particular goal or objective, often to the point of ignoring other aspects of life. Whether you are working on a project, chasing after an idea or trying to achieve a personal goal, overpursuing can be both beneficial and problematic, depending on the situation. The key is to find balance and maintain a healthy perspective, even in the midst of intense pursuit.