Clinton County is a rural county in south-central Kentucky along the Cumberland River. Known for affordable land prices, minimal zoning restrictions, and strong agricultural use, Clinton County is popular with homesteaders and off-grid buyers. County seat: Albany. Acquire land in Greenup County, situated in Eastern Kentucky's Appalachian foothills with Greenup as its county seat. Home to 35,098 residents, this county presents opportunities for those drawn to its natural beauty, proximity to the Ohio River, and potential for recreational and rural living.