We discuss results on tunneling in barriers consisting of both pure fullerene films and layered composites of fullerenes and dielectric materials. This work focuses on C 60 films, which ranged from 50 to 600 Å in thickness and were layered with both Al 2 O 3 and Ge films 10 to 40 Å in thickness. These studies reveal that for the deposition conditions used here, incomplete C 60 coverage occurred for film thicknesses less than ϳ400 Å. For composites of C 60 with Al 2 O 3 or Ge, we observed isolated clusters of C 60 molecules and Coulomb blockade behavior consistent with the size scale of the clusters. Interesting dynamical effects were also observed in conductance characteristics that were both dramatic and in some cases entirely reproducible.