The phrase "was on one's tail" refers to someone pursuing or following closely behind another person. Some antonyms of this phrase could be "left alone," "lost," or "forgotten." These words indicate that there is no one chasing or following the person in question. Other antonyms could include "ahead," "leading," or "in front," which suggest that the person is the one doing the pursuing or following. Additionally, "peaceful," "relaxed," and "calm" could also be antonyms for "was on one's tail," as these words describe a state of being without stress or anxiety associated with being pursued.