The phrase "come to a standstill" is used to describe a situation where something that was previously moving or active has stopped completely. The opposite of this phrase can be expressed as "to pick up pace", which means that something that was slowed down or stagnant has started to move again. Another antonym can be "progress", which means that something is moving smoothly without any hindrances or obstacles. "Advance" can also be used as an antonym for "come to a standstill," indicating that something is moving forward at a steady and consistent pace. Thus, these antonyms imply that there is movement and progress, rather than stagnation or inactivity.