I went through a big Soundgarden phase recently, right around the time they announced they were reuniting after 13 years apart. They played a show under the name Nudedragons (anagram for Soundgarden) in April,
and headlined the 2010 Lollapalooza but haven't done much since. The reunion was of course an excuse to re-release their music, which they did in the form of the Telephantasm compilation album. The record featured a "new" song (written during the Badmotorfinger sessions) called "Black Rain," but other than that, no new music has been released and they haven't played any more shows. They did play on the second episode of Conan O'brien's new show, though, which can be seen here.
Chris Cornell has certainly proved that he can still sing. Now they just need to record an album so they can prove that this reunion was not just a cash grab.