  We study warped flat geometries in three-dimensional topologically massive
gravity. They are quotients of global warped flat spacetime, whose isometries
are given by the 2-dimensional centrally extended Poincar\'e algebra. The
latter can be obtained as a certain scaling limit of Warped AdS3 space with a
positive cosmological constant. We discuss the causal structure of the
resulting spacetimes using projection diagrams. We study their charges and
thermodynamics, together with asymptotic Killing vectors preserving a
consistent set of boundary conditions including them. The asymptotic symmetry
group is given by a Warped CFT algebra, with a vanishing current level. A
generalization of the derivation of the Warped Cardy formula applies in this
case, reproducing the entropy of the warped flat cosmological spacetimes.
