I do not know of any study that has linked electromagnetic waves with the reduction of cloudiness or precipitation and I doubt very much that there is any relationship.
Being a cloud physics teacher since more than 20 years and doing research in clouds and precipitation for much longer, I can tell you that there is no demonstrated way that telecommunication waves can affect cloud hydrometeor formation. These latter are formed from water vapour and condensation/icing nuclei that are not affected by telecom frequencies. Naturally cloud microphysical properties are influenced by electromagnetism (e.g., the collection efficiency of aerosols and droplets is influenced by the charge on hydrometeors). However, here we are talking about charging mechanisms in the cloud that have little to do with the propagation of telecommunication waveforms. As noted in a previous answer, telecommunications are in turn heavily affected by clouds and especially precipitation, the latter being a powerful attenuation source. You can find a lot of material on attenuation in the literature concerning telecommunications. There is also a conference on antenna and propagation supported by the European Space Agency that deals with such problems.