Thanks Steve. I've been tearing my hair out (actually, that's a lie; I'm bald) since Boxing Day trying to figure this thing out. It was a Christmas present and it worked perfectly on Christmas Day. Next day: nothing. If I had the demo playing I could hear it ok (if I jiggled the mini-jack in and out a bit) but as soon as I plugged the jack fully home there would be about half second of sound, and then nothing. This was a consistent feature, so it suggested a dodgy connection somewhere along the line; either the cable, the jack socket on the Stomp or the jack socket on the iPad. Checked for lint in the socket but all clear.
Then I connected it to my iPhone and installed the app on there. It worked fine. So, Stomp box - OK, App - OK, jack socket in iPhone - OK, cable - OK. Back into my iPad and nothing again. Frustrating as ****, and I'm still thinking it must be something wrong with the jack socket on it. (Although headphones worked perfectly). So now I'm thinking, something to do with the four-way mini-jack (as opposed to the three-way headphone mini-jack) not being liked by my iPad. Which left me completely stuck and facing the prospect of an interminable discussion with IK Support.
By the way, the red on/off LED was fully illuminated the whole time.
After numerous visits to the internet to see if I could find anyone with a similar problem I eventually came across your post, so I tried the battery trick. Bingo! It worked! I'd used the unit for a couple of hours on Christmas Day but hadn't left anything connected when I finished with it, as I'm very aware of how that kills a battery overnight. Either the unit is a real power guzzler or the battery that they supply is crap/cheap/old/knackered. I'll have to see how long the replacement lasts.
The interesting thing here, though, is that it worked fine with my iPhone. Maybe it's something to do with a difference in how the iPhone and iPad use power. Who knows? (Shrugs shoulders).
But now we come to the next bit. I tested the original battery and it was coming up at only just under 9v, so I put it back in again to try it out, and guess what? All working perfectly. ***? So NOW I'm thinking that the Stomp just needed a hard reset with nothing plugged into it at all and no battery connection. (Red herrings all over the place, here)! I carried on playing for a while and noticed a latency issue, so I went into Settings on the app and set the latency to Ultra Low. And immediately everything stopped again, and even if I reset the latency to Low, there was still nothing. So I fully unplugged the Stomp (inc. the battery) and repowered my iPad. Connected everything up again and all working fine (and still the original battery). Went into Settings again and the latency had remained as Low. So to try out the same thing again I switched it back to Ultra Low. Absolutely no effect whatsoever this time - everything still working fine.
So after all that, it's all working again, in it's original state, but I have not the faintest idea about what's going on with this thing. I've turned everything off now and am going to the pub. I'll try the whole thing again later and let you know how I get on.