Motivated by the very recent measurements performed at the LHCb and the Tevatron of the
$ B_s^0 - \overline B_s^0 $
mixing, in this paper we revisit it in a family non-universal Z′ model, to check if a simultaneous explanation for all the mixing observables, especially for the like-sign dimuon charge asymmetry observed by the D0 collaboration, could be made in such a specific model. In the first scenario where the Z′ boson contributes only to the off-diagonal element
$ M_{{{12}}}^s $
, it is found that, once the combined con...