The study of return time statistics of a dynamical system (X,f,μ) involves fixing a typical point xєX and looking at the distribution of return times to progressively smaller and smaller sets around x. In hyperbolic situations it has been known for some years that these distributions will be exponential. In the non-uniformly hyperbolic situation, much less is known. In this talk I will present a result, joint with Henk Bruin, showing that for a very large class of multimodal interval maps we have exponential return time statistics. This holds for a variety of measures on these systems including the absolutely continuous invariant measures.