The aging effects of a ''diffusing glass,'' a single elastic string di
ffusing in a two-dimensional disordered media assisted by thermal nois
e, are studied by Monte Carlo simulations. We find for the first time
convincing numerical evidence of nontrivial aging effects both in the
linear response against transverse force and the associated correlatio
n function. Our results retain some important predictions of the conve
ntional dynamical mean-field theory but also reveal remarkable differe
nces from it.