The phrase "outgoing mayor" refers to the current mayor of a city who is nearing the end of their term or has already finished their term and will soon be replaced by a new mayor. Full definition
Fernandez de Kirchner left office in December 2015 after completing maximum term limits, while opposition candidate Mauricio Macri, the staunchly pro-business outgoing mayor of Buenos Aires, won the presidency. (tradeready.ca)
The city's outgoing mayor said, «I never envisioned a new steel mill in Youngstown.» (exxonmobilperspectives.com)
Anish Kapoor was railroaded by outgoing mayor Boris Johnson into adding a slide to his Olympic sculpture. (artlyst.com)