  Consider the linear stability of the three dimensional isentropic
compressible Navier-Stokes equations on
$\mathbb{T}\times\mathbb{R}\times\mathbb{T}$. We prove the enhanced dissipation
phenomenon for the linearized isentropic compressible Navier-Stokes equations
around the Couette flow $(y, 0, 0)^\top$. Moreover, the lift-up phenomenon is
also shown in this paper. Compared with the 3D incompressible Navier-Stokes
equations [Ann. of Math.,185(2017), 541--608], the lift-up effect here is
stronger due to the loss of the incompressible condition.
