Understanding the dynamics of water under nanoscale confinement is important for biology, geology, tribology, and nanotechnology. In many naturally occurring situations, ions are present in water at various concentrations. Here we report on how the addition of sodium ions alters the squeeze-out behavior of water nanoconfined between a mica surface and silicon oxide tip. We find that Na+ ions enhance molecular ordering and lead to longer mechanical relaxation times. We also observed a critical ion concentration, above which the confined water switches from a viscous to an elastic (solid-like) response at very slow, quasistatic compression speeds.