Purchase online - This is the fastest and easiest option. Ohio law has provisions for several other dog license types.All license types must be renewed yearly during open enrollment, December 1 to January 31. Cuyahoga County dog licenses on sale through Dec. 15; renewal deadline is Jan. CITY DOGS Cleveland is the adoption and volunteer program for Cleveland Animal Care and Control. Our adoption counselors are ready to help you find a great fit. Certificates and tags stamped "Ohio Assistance Dog-Permanent Registration," with registration number, shall be issued upon registration of such a dog. Service Animals are permitted in Cuyahoga Valley National Park following these guidelines: The service animal is under control of the handler. Gov or call 216.664.