  We investigate deformations of Lifshitz holography in $(n+1)$ dimensional
spacetime. After discussing the situation for general Lifshitz scaling symmetry
parameter $z$, we consider $z=n-1$ and the associated marginally relevant
operators. These operators are dynamically generated by a momentum scale
$\Lambda \sim 0$ and correspond to slightly deformed Lifshitz spacetimes via a
holographic picture. We obtain renormalization group flow at finite temperature
from UV Lifshitz to IR AdS, and evaluate how physical quantities such as the
free energy density and the energy density depend on $\log(\Lambda^z/T)$ in the
quantum critical regime as $\Lambda^z/T \rightarrow 0$.
