Clinton Township is one of the twelve townships of Vinton County, Ohio, United States. The 2020 census found 1,847 people in the township, 727 of whom lived in the village of Hamden.

Vinton County is a county located in the U.S. state of Ohio. As of the 2020 census, the population was 12,800, making it the least populous county in the state. Its county seat is McArthur. The county is named for Samuel Finley Vinton, US Representative from Ohio.