The disassembly of molecular clusters (N 2 ) n (n=50-3000) in strong optical fields is investigated using two-dimensional time-of-flight spectrometry. Very highly charged ions are formed with a two-component energy distribution. A low-energy, isotropic component correlates with Coulomb explosion. A highenergy, anisotropic component, that results from a "charge flipping" acceleration mechanism, gives rise to ions with energies in excess of the Coulombic limit.