  We study various aspects of warped conformal field theories (WCFTs) in two
dimensions. We find new Lagrangian WCFTs, and show that all known Lagrangian
WCFTs are local only after an infinite tuning. We deduce the anomalies of WCFTs
and relate them to central charges, as well as analyze WCFT hydrostatics,
thereby re-deriving the warped analogue of the Cardy formula. Finally, we point
out that holographic WCFTs are semi-local, that matter fields in spacelike
WAdS$_3$ black hole geometries exhibit a Gregory-Laflamme-like instability, and
that WAdS$_3$ throats do not admit a decoupling limit.
