The phrase "being on tail" implies following someone or something closely, but there are several antonyms that carry different meanings. For instance, the opposite of being on tail could be leading, guiding, or directing. These terms suggest taking a proactive approach instead of passively following. Another antonym could be disengaging or withdrawing, indicating a desire to distance oneself from the subject. Alternatively, losing the tail could also mean losing track of something or someone, which could result in disorientation or confusion. In conclusion, the antonyms of "being on tail" offer multiple alternatives to the act of following closely.