We apply superstatistical techniques to an experimental time series of measured transient currents through a thin aluminium-PMMA-aluminium film. We show that in good approximation the current can be approximated by local Gaussian processes with fluctuating variance. The marginal density exhibits 'fat tails' and is well modelled by a superstatistical model. Our techniques can be generally applied to other short time series as well. (C) 2012 Elsevier B.V. All rights reserved.