We investigate the deformation of a dilute emulsion with a viscoelastic continuous phase under shear flow. Initially, polydisperse drops are deformed into thin cylinders. The breakup of these liquid cylinders appears to be suppressed until they reach a certain width. The resulting ruptured drops are uniform along the length of the cylinder. As a control, we also study drop breakup for a Newtonian emulsion, at a similar viscosity ratio. In this case, there is no corresponding size selection for the cylinder radius or daughter drops.