Used a NUVI
I have done this with a NUVI 770. I am not sure what the stewardess thought about it, but I was in first class and in the window seat. It was amazing, really, to see your positon over the states and be able to see the direction and speed.
It usually took a while to lock onto the satellites, but once it caught a signal it would keep it. It's addicting, because you can get a much better sense of what is going on when flights are being diverted / delayed.
On the larger 777's, Continental always has a location information screen appearing intermittently during the flight on monitors, but they turn it off whenever you get close to landing or when they deem necessary.
Being able to use my GPS was a bit unnerving, because technically the data could be collected used later.
Given that, I don't see why the Droid wouldn't eventually lock onto a satellite signal and be able to intepret it. I assume the Garmin units were a bit more optimized for this process - and I am even thinking there are specific Garmins for pilots to be using.