The phrase "brake neck" generally means to move very fast, often recklessly or dangerously. Antonyms for this phrase would be to move slowly or cautiously, to take your time and avoid rushing. Some possible antonyms for "brake neck" include move at a leisurely pace, proceed with care, take it easy, and slow down. These terms all convey a sense of careful, deliberate action rather than reckless speed. Whether you are driving a car, running a race, or simply going about your day, it is important to remember the value of taking your time and proceeding with caution rather than rushing headlong into danger.