Strain amplitude (γ) effects on the time-dependent dynamic viscosity of percolated particle networks in a filled polymer are shown to mirror temperature effects on volume relaxation in nonequilibrium glasses, consistent with the jamming phase diagram concept. This is demonstrated with an uncrosslinked polymer nanocomposite system based on natural rubber reinforced with N121 carbon black (CB) particles that was evaluated with oscillatory shear rheometry. This CB-filled rubber displayed the glass-like kinetic signatures of nonequilibrium relaxation, asymmetry of approach, and the memory/crossover effect in experiments involving strain amplitude jumps comparable to temperature-jump experiments that are used to study glass-forming materials. However, the asymmetry of approach showed a slower relaxation for the γ down-jump relative to the up-jump, which is opposite to the classic temperature jump experiments on glasses. The particle networking process, commonly called filler flocculation, was also investigated as a function of filler volume fraction (ϕ), and a new definition of the percolation threshold emerged from these results. The critical ϕ where flocculation diminished to zero was identified from the ϕ-dependent data and matched well the percolation threshold separately determined from electrical resistivity measurements on crosslinked specimens.