  It is generally believed that the semiclassical AdS$_3$ higher spin gravity
could be described by a two dimensional conformal field theory with
${\cal{W}}$-algebra symmetry in the large central charge limit. In this paper,
we study the single interval entanglement entropy on the torus in the CFT with
a ${\cW}_3$ deformation. More generally we develop the monodromy analysis to
compute the two-point function of the light operators under a thermal density
matrix with a ${\cW}_3$ chemical potential to the leading order.
Holographically we compute the probe action of the Wilson line in the
background of the spin-3 black hole with a chemical potential. We find exact
agreement.
