  Magnetic properties of the spin-1/2 XXZ Heisenberg cuboctahedron are examined
using exact numerical diagonalization depending on a relative strength of the
exchange anisotropy. While the Ising cuboctahedron exhibits in a
low-temperature magnetization curve only one-third magnetization plateau, the
XXZ Heisenberg cuboctahedron displays another four intermediate plateaux at
zero, one-sixth, one-half and two-thirds of the saturation magnetization. The
novel magnetization plateaux generally extend over a wider range of magnetic
fields with increasing of a quantum ($xy$) part of the XXZ exchange
interaction. It is shown that the XXZ Heisenberg cuboctahedron exhibits in a
vicinity of all magnetization jumps anomalous thermodynamic behavior
accompanied with an enhanced magnetocaloric effect.
