When we use the phrase "be not so eager to meet," what we really mean is that we want to caution someone against being overly enthusiastic about a potential meeting or situation. There are many synonyms for this phrase, including "don't be too hasty," "hold your horses," "take it slow," "don't jump the gun," "proceed with caution," and "exercise restraint." These expressions all communicate the idea that it's important to approach something with a healthy dose of skepticism and to be mindful of potential risks and downsides. Whether you're advising a friend about a new job opportunity or giving yourself some advice about a personal decision, these synonyms can help you convey your message in a clear and effective way.