When faced with a situation where there is disagreement or conflict about a particular topic, it is important to study it thoroughly and carefully. If the phrase "study at dispute" doesn't quite capture what you're trying to say, here are some synonym options to consider: analyze, examine, investigate, scrutinize, research, inquire, explore. Each of these words emphasizes the idea of carefully examining a topic to gain a deeper understanding and potentially resolve any conflicts or disagreements that may arise. Ultimately, choosing the right word to describe your approach to studying a disputed topic will depend on the specific context and your intended message.