It has been recently shown that the magnetization of a multiferroic nanomagnet, consisting of a magnetostrictive layer elastically coupled to a piezoelectric layer, can be rotated by a large angle if a tiny voltage of few tens of mV is applied to the piezoelectric layer. The potential generates stress in the magnetostrictive layer and rotates its magnetization by ~ 90 0 to implement Bennett clocking in nanomagnetic logic chains. Because of the small voltage needed, this clocking method is far more energy-efficient than those that would employ spin transfer torque or magnetic fields to rotate the magnetization. In order to assess if such a clocking scheme can be also reasonably fast, we have studied the magnetization dynamics of a multiferroic logic chain with nearest neighbor dipole coupling using the Landau-Lifshitz-Gilbert (LLG) equation. We find that clock rates of ~ 2 GHz are feasible while still maintaining the exceptionally high energy-efficiency. For this clock rate, the energy dissipated per clock cycle per bit flip is ~52,000 kT at room temperature in the clocking circuit for properly designed nanomagnets. Had we used spin transfer torque to clock at the same rate, the