Kleinzee is a small village on the west coast of Northern Cape province, South Africa, located at the mouth of the Buffels River and just south …Kleinzee is a small village on the west coast of Northern Cape province, South Africa, located at the mouth of the Buffels River and just south of Grootmis. It is 72 km southeast of Port Nolloth and 105 km west of Springbok. Previously a closed company town, it was known for its diamond-mining operations until the 2000s.