The phrase "gotten no place fast" implies that someone is unable to make any progress or achieve their goals in a timely manner. To describe the opposite, we could use various antonyms such as "making headway," "moving forward," "proceeding smoothly" or "progressing swiftly." These phrases suggest that someone is experiencing success, growth or development in their endeavors. Antonyms for "gotten no place fast" can also include "accelerating," "advancing," "flourishing" or "thriving," which indicate a positive and productive movement towards a desired outcome. By using these antonyms, we can paint a picture of someone who is successful, focused and moving forward with determination.