We consider the statistical mechanics of an interacting anyon gas with a repulsive pair potential of the form g/r2. The second virial coefficient is calculated and shown to be a smooth function of the statistical parameter-alpha for g < 0, without the cusps previously found at the Bose point in a noninteracting anyon gas. As g -< 0 the cusps remain absent but a different type of singularity develops at the Bose point, showing that the order of limits is crucial.