In this short communication we show that so-called "elastic turbulence" - a chaotic flow driven by elastic stresses observable even in the absence of inertia - can be used to create emulsions from immiscible viscous liquids in a simple shear mixing device. In the absence of elasticity, but at identical viscosity ratio, Reynolds and Capillary numbers, no mixing is observed and the immiscible liquids remain separated. Elastic turbulence thus offers a unique pathway to create dispersions in viscous liquids at low Reynolds numbers in nominally shear-dominated flows. (C) 2012 Elsevier B.V. All rights reserved.