  We present the general form of all timelike supersymmetric solutions to 3D
U(1)^3 gauged supergravity, a known consistent truncation of string theory. We
uncover a rich vacuum structure, including an infinite class of new
timelike-warped AdS_3 (Goedel) and timelike-warped dS_3 critical points. We
outline the construction of supersymmetric flows, driven by irrelevant scalar
operators in the SCFT, which interpolate between critical points. For flows
from AdS_3 to Goedel, the natural candidate for the central charge decreases
along the flow. Flows to timelike-warped dS_3 exhibit topology change.
