The antonyms for the phrase "reaching a standstill" are making progress, advancing, moving forward, and improving. When we say that a situation has reached a standstill, we mean that there is no further development or growth in that particular situation. However, if we use the antonyms, we imply that progress and advancement are happening, and the situation is not stuck in one place. For instance, a company that is making progress is continually improving, growing, and expanding its operations. Similarly, when an individual moves forward in life, they are advancing and not standing still. Therefore, by using the antonyms, we suggest there is movement and improvement in the situation, which is a positive sign.