The phrase "chomping at the bit" refers to someone who is eager, impatient or restless to start something. Some antonyms for this phrase could be hesitant, indecisive, or uncertain. These are all words that indicate someone who is not quite ready or willing to jump into action. Other antonyms could include relaxed, patient, and calm. These words suggest a sense of tranquility and composure, rather than the excitement and enthusiasm that comes with chomping at the bit. So, if you find yourself feeling hesitant or relaxed about starting a new project, rest assured that there are many different ways to approach this kind of challenge.