  The recent excess observed by CDF in $B^0_s \to \mu^{+} \mu^{-}$ is
interpreted in terms of a possible supersymmetric origin. An analysis is given
of the parameter space of mSUGRA and non-universal SUGRA models under the
combined constraints from LHC-7 with 165 pb$^{-1}$ of integrated luminosity,
under the new XENON-100 limits on the neutralino-proton spin independent cross
section and under the CDF $B^0_s \to \mu^{+} \mu^{-}$ 90% C.L. limit reported
to arise from an excess number of dimuon events. It is found that the predicted
value of the branching ratio $B^0_s \to \mu^{+} \mu^{-}$ consistent with all
the constraints contains the following set of NLSPs: chargino, stau, stop or CP
odd (even) Higgs. The lower bounds of sparticles, including those from the LHC,
XENON and CDF $B^0_s\to \mu^+\mu^-$ constraint, are exhibited and the shift in
the allowed range of sparticle masses arising solely due to the extra
constraint from the CDF result is given. It is pointed out that the two sided
CDF 90% C.L. limit puts upper bounds on sparticle masses. An analysis of
possible signatures for early discovery at the LHC is carried out corresponding
to the signal region in $B^0_s \to \mu^{+} \mu^{-}$. Implications of GUT-scale
non-universalities in the gaugino and Higgs sectors are discussed. If the
excess seen by the CDF Collaboration is supported by further data from LHCb or
D0, this new result could be a harbinger for the discovery of supersymmetry.
