The lepton flavor universality violation has been reported in the various flavor ratios such as $R_K$, $R_{K^*}$, and $P_{5}^{\prime}$ in $B\, \to\, K^{(*)}\, \mu^+ \,\mu^-$ decays. In this context, we perform an angular analysis of the four-body differential decay of $B_s\, \to\, f_{2}^{\prime}\,(1525)\,(\to K^+\,K^-)\,\mu^+ \,\mu^-$ in a model independent effective field theory formalism and provide a complementary information on the lepton flavor universality violation. The underlying decay mode proceed via similar $b\, \to\, s\, l^+\, l^-$ quark level transition. We give predictions of various physical observables for $B_s\, \to\, f_{2}^{\prime}\,(1525)\,(\to K^+\,K^-)\,\mu^+ \,\mu^-$ decays in SM and in the presence of
various NP scenarios. This can be easily tested in the ongoing LHCb experiment.