The board of commissioners shall have power by a majority vote of all the members thereof to remove, for cause, the city attorney, city clerk, city treasurer, police judge, city engineer, or the incumbent of any other appointive city office or employment whatever, and may by ordinance prescribe, limit or change the compensation of such officers or employees: Provided, however, That no fees whatever be paid to or allowed any such officer or employee as compensation for the services thereof. The chief of police, chief of the fire department, or any superintendent or foreman in charge of municipal work, may, with the consent of the board of commissioners, suspend or discharge any subordinate under his or her direction for neglect of duty or disobedience of his or her orders.