We investigate the dynamics of the 2D Coulomb glass model by Monte Carlo simulation. The system has a zero-temperature freezing transition signaled by an exponential divergence
of the relaxation rate. At low enough temperatures the system may remain off-equilibrium on experimental timescales.
In this regime the dynamics of charge fluctuations and the
response of the system to random perturbations of the local
potential exhibit aging. The fluctuation dissipation theorem is
violated and aging is also observed in the electron diffusion.
The relevance of these findings for recent transport experiments in Anderson-insulating films is pointed out.