The cyclotron radiation spectra from runaway tokamak discharges are discussed and numerical studies reported which attempt to fit the observed data with simple model distribution functions. A model is exhibited which is both physically reasonable and in qualitative agreement with experiment. A tentative attempt is made to compare this result with the theory for runaway dynamics of Parail and Pogutse. It is found that a consistent picture can be formulated if some assumptions are made concerning initial breakdown conditions.