This paper presents a theoretical study of the bound states of the open-shell OH radical in its ground electronic state (X(2)Pi) interacting with n Ar atoms, for n from 4 to 12. After freezing the geometry of the Ar-n cage or subunit at the equilibrium structure (preceding paper), we carry out nonadiabatic five-dimensional quantum dynamics calculations on two coupled potential energy surfaces, using an extension of the method previously applied to closed-shell ArnHF clusters [J. Chem. Phys. 103, 1829 (1995)]. The method is based on a discrete variable representation (DVR) for the translational motion of OH relative to Ar-n, combined with a finite basis representation of the OH hindered rotation and electronic structure, including spin-orbit effects. The pattern of OH hindered rotor levels in clusters is similar to that in Ar-OH itself, though extended over three to four times the energy range for n=4 to 9. Ar12OH has a nearly spherical shell of Ar atoms around the OH, so the anisotropic splitting is very small. For n=10 and 11, the anisotropy may be viewed as arising from holes in an otherwise spherical shell, and the resulting patterns of hindered rotor levels are inverted versions of those for Ar2OH and Ar-OH.