chairpersonship

Etymology
From.

Noun

 * 1) The office or term of a chairperson.
 * 2) * 2008, Bibby & Schaffner, Politics, Parties, and Elections in America, 6th edition, p. 93:
 * For the party that does not control the presidency – the out-party – control of the national chairpersonship is an important element in the struggle for intraparty ascendancy.