  We discuss a novel approach for directional, light dark matter searches
inspired by the high precision position measurements achieved in gravitational
wave detectors. If dark matter interacts with ordinary matter, movable masses
are subject to an effect similar to Brownian motion induced by the scattering
with dark matter particles which exhibits certain characteristics and could be
observed. We provide estimates for the sensitivity of a hypothetical experiment
looking for that motion. Interestingly, if successful, our approach would allow
to constrain the local distribution of dark matter momentum.
