Creates the Local Officer Eligibility Act. Provides that a person seeking a local office or a local officer seeking another office may not qualify as a candidate for more than one office unless the person follows the requirements of this Act. Provides that, if a local officer seeks to become a candidate for any other office and any part of the terms run concurrently with each other, the person must first resign the local office that the officer presently holds. Includes resignation requirements. Provides that a person who is a deputy sheriff, county corrections officer, court security officer, or other person a sheriff otherwise supervises must resign as provided under the provisions if the person is seeking to qualify for the office of the sheriff. Provides that, if an election authority determines that a person failed to resign as required under the Act, an automatic resignation occurs 14 days after the filing of a petition for nomination. Requires the election authority to provide notice of the automatic resignation. Provides that the Act does not apply to a person already appointed to or is seeking appointment to an appointive board, task force, commission, or authority. Defines terms. Limits concurrent exercise of home rule powers. Amends the Election Code making conforming changes.