Claiborne's Thriftway is a family owned and operated grocery store located in Lamesa Texas. We pride ourselves on not being a chain store. his means we know on the spot what our customers need and can provide the best service in the industry. Our store is formatted to cater to the local Texas market. Claiborne's Thriftway provides the freshest produce, delicious meats, and the best grocery assortment in Lamesa. Come inside and see what Claiborne's Thriftway has to offer you!