The term 'boot out of office' is a phrase used to describe the act of removing someone from their position of power. In this case, the crossword solution for the term is 'OUST, ' which means to forcibly remove someone from a position or place. This phrase is often used in politics when a leader is removed from office by either a vote of no confidence or a coup. It can also be used in other contexts, such as when an employee is fired from their job.