(by extension) A person who purports to stay aloof from party politics.
(by extension) One who switches from supporting one political party to another, especially for personal benefit.
(by extension, colloquial, somewhat derogatory) A person who stays neutral or non-committal; a fence sitter; also, a person who maintains an aloof and often self-important demeanour.
(chiefly humorous) A (male) leader; an important (male) person.
(historical) A member of the Republican Party who declined to support the party's nominee James G. Blaine (1830–1893) during the 1884 United States presidential election, believing him to be corrupt, and instead supported the Democratic Party's candidate Grover Cleveland (1837–1908).
verb
(intransitive) To behave like a mugwump.
(intransitive) To purport to stay aloof and independent, especially from party politics.