Dielectric relaxation in quadrupolar glasses is dominated at low temperatures by thermal activation over local anisotropy barriers produced by the quadrupolar freezing. The distribution of barrier heights V vanishes linearly as V→0 at all temperatures due to the repulsion of levels of the random internal stress tensor. A further shift of V to higher values occurs as T decreases due to correlations. These results are compared with recent dielectric measurements in (KBr)0.5(KCN)0.5.