The stability of nematic and smectic order in clusters of spherocylinders is examined via Monte Carlo simulations. A discontinuous isotropic-nematic transition is observed as the cluster size is varied through N=35. A continuous transition to smectic A order takes place from N=55 to N=200. The layered N=200 cluster exhibits a square cross section, an effect attributed to the increased orientational entropy of rods at surfaces of low curvature.