The term 'Lose One's Tail' can be summarized as the act of eluding or escaping from someone or something. This phrase is often used to describe a situation in which an animal, such as a fox, is being chased by a predator and manages to escape by running away quickly. It can also be used to describe a person who is trying to avoid capture or detection by another person or group. The crossword solution for this term is 'ELUDE, ' which means to avoid or escape from someone or something.