The wait is over. Kind of.

Out now: Sleater-Kinney, "Hurry On Home".
The song, produced by St. Vincent, is available via your favorite tunes dispenser (on Bandcamp it's in 24/48); the physical 7" will be out in August and its b-side is yet TBA (seriously, that's what the description says: "TBA"). Interestingly, they are now on Milk! Records (well, Mom + Pop in the U.S.), better known as the house Courtney Barnett and Jen Cloher built.
Sleater-Kinney's announcement with links to watch, listen and buy, plus tour dates and their Spotifuck list
Milk! Records' announcement, with a longer description and brief quotes from the band