I'll reply both here and over at What Is It. Dale Wilges, the current OH trade token cataloguer, sent me an e-mail today saying that this token had not yet been reported to him. If you will provide the material (it looks like brass to me) and size (measured across the flats in millimeters), he will get it in the next edition of the OH book. He looked through the directories he had and the only real good possibility for dating it comes from the 1905 OH R. G. Dun business directory where the Beck Cigar Co. is listed. Of course this is not a definitive date - to do that would take some more looking through Canton city directories and/or other sources.
John in ID