Recent TCV experiments suggest that the application of electron cyclotron resonance heating (ECRH) results in the expulsion of the pre-disruption runaway-electron (RE) seed, thus preventing the formation of a RE beam after a disruption (Decker *et al.*, *Nucl. Fusion*, **64**, 2024, 106027). This expulsion is understood to be due to a combination of the increase in electron temperature and an enhancement of radial RE transport, the latter of which is suspected to be the result of an increase in turbulent fluctuations. In this talk, we discuss the mechanisms whereby turbulent fluctuations cause radial RE transport and demonstrate how we can use the gyrokinetic framework, a cornerstone of the study of plasma turbulence in tokamaks, to determine the fluctuation-induced radial transport of REs. We also discuss the possibility of RE-driven microinstabilities that could allow REs to play an active role in plasma turbulence.