The visible continuum near λ = 5360 Å is monitored during sawtoothing discharges on the Alcator C tokamak. Because of the typically flat continuum emission profiles, effects of internal disruptions on the central-chord continuum brightness are small. However, by averaging over many internal sawtooth periods from similar discharges, sawtooth oscillations on the continuum brightness are observed. The continuum sawteeth obtained closely resemble soft-X-ray sawteeth in both phase and structure. The relative change in the central-chord brightness (ΔB/B) due to the internal disruption is |ΔB/B| ≈ 0.5% ± 0.085%, which is found to be consistent with the predictions of a simple sawtooth model.