  We consider a particle system with a mean-field-type interaction perturbed by
some common and individual noises. When the interacting kernels are sublinear
and only locally Lipschitz-continuous, relying on arguments based on the
tightness of random measures in Wasserstein spaces, we are able to construct a
weak solution of the corresponding limiting SPDE. In a setup where the
diffusion coefficient on the environmental noise is bounded, this weak
convergence can be turned into a strong L^p($\Omega$) convergence and the
propagation of chaos for the particle system can be established. The systems
considered include perturbations of the Cucker-Smale model for collective
motion.
