  We propose an electronic L\'evy glass built from graphene nanoribbons in the
presence of regions with enhanced spin-orbit coupling. Although electrons in
graphene nanoribbons present a low spin-orbit coupling strength, it can be
increased by a proximity effect with an appropriate substrate. We consider
graphene nanoribbons with different edge types, which contain circular regions
with a tunable Rashba spin-orbit coupling, whose diameter follow a power-law
distribution. We find that spin-orbital clusters induce a transition from
superdiffusive to diffusive charge transport, similar to what we recently
reported for nanoribbons with electrostatic clusters [Phys. Rev. B. 107, 155432
(2023)]. We also investigate spin polarization in the spin-orbital L\'evy
glasses, and show that a finite spin polarization can be found only in the
superdiffusive regime. In contrast, the spin polarization vanishes in the
diffusive regime, making the electronic L\'evy glass a useful device whose
electronic transmission and spin polarization can be controlled by its Fermi
energy. Finally, we apply a multifractal analysis to charge transmission and
spin polarization, and find that the transmission time series in the
superdiffusive regime are multifractal, while they tend to be monofractal in
the diffusive regime. In contrast, spin polarization time series are
multifractal in both regimes, characterizing a marked difference between
mesoscopic fluctuations of charge transport and spin polarization in the
proposed electronic L\'evy glass.
