  In this article, we prove the first quantitative uniform in time propagation
of chaos for a class of systems of particles in singular repulsive interaction
in dimension one that contains the Dyson Brownian motion. We start by
establishing existence and uniqueness for the Riesz gases, before proving
propagation of chaos with an original approach to the problem, namely coupling
with a Cauchy sequence type argument. We also give a general argument to turn a
result of weak propagation of chaos into a strong and uniform in time result
using the long time behavior and some bounds on moments, in particular enabling
us to get a uniform in time version of the result of C\'epa-L\'epingle.
