  We show that warped throats of the Klebanov-Strassler kind, regarded as 5d
flux compactifications on K\"ahler-Einstein manifolds $\bf{X}_5$ describe fully
backreacted solutions of transplanckian axion monodromy. We show that the
asymptotic Klebanov-Tseytlin solution features a 5d axion physically rolling
through its dependence on an spatial coordinate, and traversing arbitrarily
large geodesic distances in field space. The solution includes the backreaction
on the breathing mode of the compactification space and on the vacuum energy,
which yields a novel form of flattening. We establish the description of the
system in terms of an effective 5d theory for the axion, and verify its
validity in transplanckian regimes. In this context, rolling axion monodromy
configurations with limited field space range would correspond, in the
holographic dual field theory, to duality walls, which admit no embedding in
string theory so far. We present an identical realization of transplanckian
axion monodromy in 4d in fluxed version of AdS$_4\times \bf{X}_7$. We speculate
that similar models in which the axion rolls in the time direction naturally
correspond to embedding of the same mechanism in de Sitter vacua, thus
providing a natural arena for large field inflation, and potentially linking
the swampland de Sitter and distance conjectures.
