We study the production and decay of heavy selectrons in the e(-)gamma mode of a linear collider of the next generation. The standard model backgrounds can be substantially reduced by appropriate kinematical cuts. As a consequence, selectrons far heavier than the kinematical threshold for pair production are shown to be easily discoverable for a considerable part of the supersymmetry parameter space. We also describe a model-independent kinematical measurement of the mass of the lightest neutralino.