When searching for antonyms for the phrase "stays put," one could consider terms such as movable, transferable, or portable. These words suggest that the object in question can be easily moved or relocated, rather than remaining in a single location like "stays put." Other antonyms could include transient, temporary, and fleeting, which imply a sense of impermanence or short-term existence. Additionally, terms such as volatile, changeable, and transitory suggest that the situation may be subject to sudden shifts or alterations, rather than staying constant and stable like "stays put." Overall, the antonyms for "stays put" often suggest a lack of permanence or stability in contrast to the sense of steadfastness conveyed by the original phrase.