We present an 27 Al NMR study of the metal cluster compound Al 50 Cp* 12 which is composed of (identical) Al 50 clusters, each surrounded by a Cp* ligand shell, and arranged in a crystalline 3D array (here Cp* = pentamethylcyclopentadienyl = C 5 (CH 3 ) 5 ). The compound is found to be non-conducting, the nuclear spin-lattice relaxation in the temperature range 100-300 K being predominantly due to reorientational motions of the Cp* rings. These lead to a pronounced maximum in the relaxation rate at T $ 170 K, corresponding to an activation energy of about 850 K. Data for the related compound Al 4 Cp* 4 , containing very much smaller Al 4 clusters are also presented. A comparison is drawn with the quadrupolar relaxation recently observed for the non-conducting fraction of Ga 84 molecules in the metal cluster compound Ga 84 [N(SiMe 3 ) 2 ] 20 -Li 6 Br 2 (thf) 20 AE2toluene.