These nRF8001 Bluetooth Low Energy boards are from Adafruit, When I got them, a friend soldered on the header pins, and one didn't work. I started a long conversation with Adafruit — it's not conductive to debugging when you can only do it one evening every two weeks — but I finally got pictures into them, and they suggested resoldering the ground pins. The friend resoldered them and other pins, and now, I believe they're both going.
Of course, I need to get some more code to write and some more bits to pump before I definitively say "Yeah", but it looks like I'll soon be able to move on to learning to write things that talk to them.
On Android. In Java.
Or on Windows.
Looking forward to that.