  A dynamic response to a magnetic field of a chain of connected mesoscopic
rings is considered. We show that the low frequency behavior corresponds to
localization of the elctrons along the chain and to diamagnetic dynamic
currents inside rings. The magnetization density due to these currents does not
vanish even in the limit of the infinitely long chain of strongly connected
rings. showing that this is a macroscopic effect. Being of a dynamic origin the
currents can be destroyed by inelastic scattering, but we argue that the
corresponding decay time can at low enough temperatures be large compared to
all other time scales of the system. We suggest to check our results by
measuring the magnetization of an ensemble of chains of connected rings in the
diffusive regime or alternatively of linear antidot lattices where the mean
free path due to elastic scattering is smaller than the superlattice spacing.
This yields a new contactless method of studying the localization.
