Keene is a home rule-class city located in Jessamine County, Kentucky, in the United States. It is home to the Keene Springs Hotel. The U.S. C…Keene is a home rule-class city located in Jessamine County, Kentucky, in the United States. It is home to the Keene Springs Hotel. The U.S. Census Bureau does not record Keene as a city and does not publish a population figure for the community.