  Motivated by the possibility of an intermediate U(1) quantum spin liquid
phase in out-of-plane magnetic fields and enhanced magnetic fluctuations in
exfoliated {\alpha}-RuCl3 flakes, we study magneto-Raman spectra of exfoliated
multilayer {\alpha}-RuCl3 in out-of-plane magnetic fields of -6 T to 6 T at
temperatures of 670 mK - 4 K. While the literature currently suggests that bulk
{\alpha}-RuCl3 is in an antiferromagnetic zigzag phase with R3bar symmetry at
low temperature, we do not observe R3bar symmetry in exfoliated {\alpha}-RuCl3
at low temperatures. While we saw no magnetic field driven transitions, the
Raman modes exhibit unexpected stochastic shifts in response to applied
magnetic field that are above the uncertainties inferred from Bayesian
analysis. These stochastic shifts are consistent with the emergence of
magnetostrictive interactions in exfoliated {\alpha}-RuCl3.
