  We discuss the properties of layered Anderson/Kondo lattices with metallic
electrons confined in 2D xy planes and local spins in insulating layers forming
chains in z direction. Each spin in this model possesses its own 2D Kondo
cloud, so that the Nozieres' exhaustion problem does not occur. The excitation
spectrum of the model is gapless both in charge and spin sectors. The
disordered phases and possible experimental realizations of the model are
briefly discussed.
