  The quest for extension of holographic correspondence to non-relativistic
sectors naturally includes Schr\"odinger backgrounds and their field theory
duals. In this paper we study the holography by probing the correspondence with
pulsating strings. The case we consider is pulsating strings in
five-dimensional Schr\"odinger space times five-torus $T^{1,1}$, which has as
field theory dual a dipole CFT. First we find particular pulsating string
solutions and then semi-classically quantize the theory. We obtain the wave
function of the problem and thoroughly study the corrections to the energy,
which by duality are supposed to give anomalous dimensions of certain operators
in the dipole CFT.
