Over the last couple of years I've seen several articles talk about hints or bumps in the data that might point to Supersymmetry. An article in NewScientist from Summer 2012 discussed the discovery of the Higgs at 125 GeV as providing some support for the theory:
"This is very good news for people who believe in supersymmetry," says Howard Baer of the University of Oklahoma in Norman. He's one of several researchers who have calculated what the suspected Higgs mass could mean for SUSY particle, or sparticle, detections at the LHC...Baer reckons it can explain why sparticles have not yet been seen. Particles get their masses by interacting with the Higgs field; the stronger the interaction, the heavier the particle. So if the Higgs is confirmed at 125 GeV, which is heavy for SUSY models, many superpartners must be on the heavy side too. Baer and colleagues calculated that in several different versions of SUSY, a 125-GeV Higgs means squarks (the SUSY version of quarks) and sleptons (SUSY versions of electrons and neutrinos) must weigh 10,000 GeV or more, far too heavy for the LHC's detectors to find...That's not to say the LHC won't find any sparticles, though. Given the new estimated mass of the Higgs, Baer calculates that the gluino - superpartner to the gluon, which carries the force that holds atomic nuclei together - could be as light as 500 to 1000 GeV. The LHC is already probing this range, albeit not for gluinos specifically. Light gluinos won't be detected directly, but by the particles they decay into.
Another possible super-quarry is the stop, the superpartner of the top quark. In some models of supersymmetry, there are two stops, one monstrously heavy and another relatively light. According to Marcela Carena at Fermilab in Batavia, Illinois, and colleagues, a 125-GeV Higgs could put the light stop between 100 and 130 GeV, easily visible at the LHC."
I would love for there to be some chance that one of these proposed sparticles could indeed be discovered, but I wasn't sure where things stand as of now, and science reporting in the media is notoriously brutal.