Any person who has signed the application of a minor for a permit or license may thereafter file with the Department of Motor Vehicles a verified written request that the permit or license of such minor so granted be cancelled. Thereupon, the person who signed the application of such minor shall be relieved from the liability imposed under § 56-1-110 by reason of having signed such application on account of any subsequent negligence or wilful misconduct of such minor in operating a motor vehicle, and the license or permit of such minor shall be cancelled by the Department.