  Motivated by the recently observed anomalous large dimuon charge asymmetry in
neutral B decays and the unexpected large CP phase in the mixing-induced CP
asymmetry for B_s-->J/\psi\phi decay, we study the effects of the anomalous
tensor couplings to pursue possible solution. With the constraints from the
obsevables \phi^{J/\psi\phi}_s, a_{sl}^s and \Delta M_s, the parameter spaces
are severely restricted. Numerically, we find the anomalies in
B_s^0-\bar{B}_s^0 mixing system could be moderated simultaneously by the
contributions induced by the color-singlet or color-octet tensor operators with
their respective nontrivial new weak phase \phi_{T1}\approx28.0(15.6) degree or
\phi_{T8}\approx-62.1(-74.2) degree and relevant strength parameters
g_{T1}\approx6.7(8.5)\times10^{-2} or g_{T8}\approx1.9(2.4)\times10^{-2} for
the CP-violating phase
\phi^{J/\psi\phi}_s=-0.77(+0.29,-0.37)(-2.36(+0.37,-0.29)), respectively.
