We describe duality cascades and their infrared behavior for gauge theories on D3-branes at singularities in the presence of fractional branes. From the gauge field theory viewpoint, we show that D3-branes probing the infrared theory have a quantum deformed moduli space, given by a complex deformation of the initial geometry to a simpler one. Thus the gauge theory strong infrared dynamics smoothes out the naked singularities of the recently constructed dual supergravity warped throat solutions with 3-form fluxes. This behaviour thus generalizes the Klebanov-Strassler deformation of the conifold. We describe several explicit examples, including models with several scales of strong gauge dynamics, whose dual should correspond to throats with several radial regions with different exponential warp factors. These rich throat geometries have interesting applications in compactification and model building.