The expression "chomped at the bit" refers to a person who is eager or impatient to do something. Antonyms for this phrase might include words like "calm," "patient," "content," or "relaxed." These words indicate a lack of urgency or a sense of peace and tranquility. "Indifferent" or "unconcerned" might also be antonyms, as they refer to someone who is not particularly interested in doing something. Finally, "discouraged," "dispirited," or "disheartened" would indicate the opposite of someone who is chomping at the bit, as these words suggest a lack of motivation, enthusiasm, or energy.