  We present a stochastic version of the Cucker-Smale flocking dynamics based
on a markovian $N$-particle system of pair interactions with unbounded and, in
general, non-Lipschitz continuous interaction potential. We establish the
infinite particle limit $N \to \infty$ and identify the limit as a solution
with a nonlinear martingale problem describing the law of a weak solution to a
Vlasov-McKean stochastic equation with jumps. Moreover, we estimate the total
variation and Wasserstein distance for the time-marginals from which uniqueness
in the class of solutions having some finite exponential moments is deduced.
Based on the uniqueness for the time-marginals we prove uniqueness in law for
the Vlasov-McKean equation, i.e. we establish propagation of chaos.
