Slocomb is a city in Geneva County, Alabama, United States. It is part of the Dothan, Alabama Metropolitan Statistical Area. At the 2020 cens…Slocomb is a city in Geneva County, Alabama, United States. It is part of the Dothan, Alabama Metropolitan Statistical Area. At the 2020 census, the population was 2,082. The community is named after postmaster Frank W. Slocomb.