Hello: I'm currently downloading the Tizen source code, and will then do a complete build on my PC. This should give me a Tizen ARM binary 'su' that - with a bit of luck - will work on the Gear 2.
I don't know what the Gear 2 root password is - although I'm hoping it should be fairly easy to guess (Tizen, tizen, gear2, samsung, etc.). I will try a dictionary attack of none of the obvious things work.
I will also share the 'su' binary once I've built it, so other people can attempt to figure out the root password.
Once we've rooted it, we can look to (a) open up full Internet access on the device, (b) get better integration with non-Samsung devices, and possibly (c) install Android on it.