There are claims that the signal envelope (not just the absorbed RF power) might have some effects.
For constant amplitude waveforms such as analog NBFM or CDMA (as well as frequency hopping SS) should not have any ill effects, but TDMA as used in GSM should have. If the pulsed waveform has some effects, then increased cancer rates should be visible also on ship/plane crews affected by pulsed radar as well as analog TV-station technician exposed to the variable signal envelope. Also AM broadcast station technicians are subjected to variable amplitude waveforms.
In order to prove the effects of pulsed RF, the cancer rate should be higher in Europe, where the TDMA based GSM is used than in countries with only CDMA based services are available. In countries in which both TDMA and CDMA based cellular systems are used, it is hard to extract any usable results.