  Motivated by the possibility of ${\cal S}_{\phi K_S}<0$, we study the
implications for $B_s$ meson system. In a specific model that realizes ${\cal
S}_{\phi K_S}<0$ with large $s$-$b$ mixing, right-handed dynamics and a new CP
phase, we present predictions for CP asymmetries in $B_s\to J/\psi\phi$,
$K^+K^-$ and $\phi\gamma$ decays. Even if the measurement of time-dependent CP
asymmetry becomes hampered by very fast $B_s$ oscillation, a finite difference
between the decay rates of $B_s$ mass eigenstates may enable the studies of CP
violations with untagged data samples. Thus, studies of CP violation in the
$B_s$ system would remain useful for the extraction of new physics information.
