  The experimental predictions of $R_D$, $R_{D^*}$, $R_{J/\psi}$,
$P_\tau^{D^*}$ and $F_L^{D^*}$ in $B$ decays mediated via $b\,\to\, c\, l\,\nu$
quark level transition deviate significantly from the standard model
expectations. The current world average of the ratio of branching ratios $R_D$
and $R_{D^*}$ in $B\,\to\, D^{(*)}\, l\,\nu$ ($l\in e,\tau$) show $1.4\sigma$
and $2.5\sigma$ deviation from the SM expectations. Similarly, the $\tau$
polarization fraction $P_{\tau}^{D^*}$ and the longitudinal polarization
fraction of the $D^*$ meson $F_L^{D^*}$ in $B\,\to\, D^*\,\tau\,\nu$ are found
to deviate from the standard model expectations at $1.6\sigma$ and $1.5\sigma$
level, respectively. In addition, the ratio of branching ratio $R_{J/\psi}$ in
$B_c\,\to\,{J/\psi}\, l\,\nu$ deviates from the standard model prediction at
$2\sigma$ level. In this regard, we study the implication of $R_D$, $R_{D^*}$,
$R_{J/\psi}$, $P_\tau^{D^*}$, and $F_L^{D^*}$ anomalies on $B_s\,\to\,
{D^*_s}\,\tau\,\nu$ decay observables in a model independent effective field
theory formalism. We give predictions of several physical observables in the
standard model and in the presence of various $1D$ and $2D$ new physics
scenarios.
