Optical-heterodyne-detected Raman-induced Kerr effect spectroscopy is used to study the dynamics of CS2 confined to sol-gel glasses with 24-Angstrom pores, over the entire temperature range at which CS2 is a liquid. At all temperatures, the data are consistent with the existence of a layer of molecules at the pore surfaces that experiences a higher effective viscosity than that of the bulk liquid. Within this model, orientational correlation times and relative populations are extracted for the bulklike and surface molecules. The surface layer is found to be less than one molecule thick over the entire temperature range, with a modest increase in thickness as the temperature is lowered.