It's been more than a month since the application was submitted to Apple for evaluation, and it has been a month of ups and downs. AT&T seemed to re-write its terms of service to eliminate Sling products on the network, but then AT&T relented. Then there was a rumor that the Sling app had been rejected, but that turned out to be an apparent hoax.
The last we heard, the folks at Sling Media say everything is just peachy, and be patient. The fresh listing of the company at the App Store is a good, but not definitive sign. Hopefully, it is not another chimera, and we'll all be streaming our media to our iPhones and iPod touches soon.
Thanks to Bryan Hill for the tip and the eagle eyes.