The antonyms for the phrase "jumps on one case" might include being cautious, avoiding hasty conclusions, and considering multiple options before making a decision. Other antonyms could be taking one's time, being deliberate, or exercising restraint when approaching a situation. When someone jumps on one case, they may be acting impulsively or without fully considering the consequences of their actions. By contrast, taking a more measured approach can lead to better outcomes and more thoughtful decision-making. Ultimately, the best approach will depend on the individual circumstances and the nature of the problem at hand.