Cut a track is a popular idiom that means to hastily leave a place, especially in order to avoid trouble or responsibility. The antonyms, or opposite words of this phrase, are to stay put or to remain stationed. To stay put means to remain in one place, and avoid moving away or leaving. To remain stationed means to keep oneself in a steady position, or to stay in one designated place. Additionally, other antonyms of cut a track may include sticking around, lingering, tarrying, or loitering. These phrases imply that the person is willing to face the consequences or responsibilities of their actions, instead of running away from them.