  We study the asymptotically flat rotating hairy black hole solution of a
three-dimensional gravity theory which is given by taking the flat-space limit
(zero cosmological constant limit) of new massive gravity. We propose that the
dual field theory of the flat-space limit of new massive gravity can be
described by a contracted conformal field theory which is invariant under the
action of the BMS$_{3}$ group. Using the flat/contracted conformal field theory
correspondence, we construct a stress tensor which yields the conserved charges
of the asymptotically flat black hole solution. We check that our expressions
of the mass and angular momentum fit with the first law of black hole
thermodynamics. Furthermore, by taking the appropriate limit of the Cardy
formula in the parent conformal field theory, we find a Cardy-like formula
which reproduces the Wald's entropy of the 3D asymptotically flat black hole.
