The neoclassical fluxes induced by a radiofrequency field are calculated using the gyrokinetic equations. In general, the fluxes consist of a convective part and a diffusive part. The convective part is non-vanishing when the heating is asymmetric with respect to the magnetic field. The adjoint technique developed by Antonsen and Yoshioka is used to calculate the fluxes in the collisionless regime. Explicit expressions for convective fluxes are obtained for fast waves and ion Bernstein waves in the ion cyclotron range of frequencies. It is found that the convective flux due to ion Bernstein waves can be quite significant. A possible scheme for controlling impurity influx is through direct asymmetric heating by ion Bernstein waves.