Overall rotational anisotropy is found to be generic in compact cluste
rs of model dipolar particles. This broken rotational symmetry, or ''g
lobal'' orientational order, is pronounced in zero temperature configu
rations. It arises from the tendency of dipolar particles to form head
-to-tail chains which encircle the cluster, giving rise to a circulati
ng pattern. In many cases, the zero temperature arrangement of dipolar
particles is chiral. Expansion of the dipole density field in vector
spherical harmonics provides order parameters to quantify broken orien
tational symmetry, and facilitates analysis of inversion and reflectio
n symmetry. Finite temperature simulations of a 13-particle cluster wi
th Stockmayer (Lennard-Jones+point dipole) interactions indicates that
the global orientational order persists to higher temperatures, even
above the point of translational melting. The 13-particle Stockmayer c
luster remains orientationally ordered up to the onset of frequent eva
poration from the cluster. Ramifications of this effect are discussed.