A protein complex that possesses ATP-dependent protease activity; consists of an ATPase large subunit with homology to other Clp family ATPases and a peptidase small subunit related to the proteasomal beta-subunits of eukaryotes. In the E. coli complex, six identical subunits of both the ATPase, ClpY, and the protease, ClpQ, self-assemble into an oligomeric ring, and two rings of each subunit, two ClpQ rings surrounded by single ClpY rings, form a dumbbell-shaped complex.