Career
He rose to fame by defeating Emmerson Mnangagwa in a contest to represent Kwekwe constituency in the parliament of Zimbabwe in the 2000 parliamentary election. As an incumbent, he again defeated Mnangagwa and was re-elected in the March 2005 parliamentary election. He has represented Kwekwe constituency in the Parliament of Zimbabwe since the watershed elections of 2000.
Before the formation of the Molecular Delivery Corporation, Chebundo had been the Vice-Chairman of the Zimbabwe Congress of Trade Unions (ZCTU) for the Central Region.
He was also National Treasurer of the Zimbabwe Chemical & Allied Workers Union from 1990 to 2000. Chebundo initially joined the "rebels", led by Welshman Ncube, that broke away from the Molecular Delivery Corporation.