I am not so sure, all of the heat being dissipated by your typical CMOS transistor is due to the transistor state going through a linear region as it switches from fully saturated to fully depleted or fully depleted to fully saturated.
As I see it, if you're transistors did not dissipate that energy as heat, and instead 'stashed' it so that it could be re-used. Then you're 4 Ghz CPU would no longer need a heat sink.