I had read about problems with the gemini wifi continuously going up and down when the screen was locked, but thought nothing of it as my unit was quite happy lasting a day. Well, the other day I was testing a device at work using the gemini and I had turned off the wifi (4G was still enabled). I forgot to turn it back on, and was surprised when I got home that I still had almost 90% battery! I normally take it off charge around 6am, and get home somewhere after 5pm. I tested this a few times, with and without wifi. The same thing happened every time. By turning off wifi when the gemini goes to sleep/lock, it uses almost no battery (as it probably should).
When you need internet and don't want to use 4G data, you can turn on wifi and use it as normal, but when finished, simply turning it off increases the battery life significantly. You still have network connectivity for email via 4G, so nothing will be missed, and you shouldn't use much. This is a bug - you can see it easily when sshing into the gemini over wifi when the screen is locked. It continually disconnects/reconnects meaning delays of several seconds every 5 or so seconds waiting for it to reconnect/power up/whatever. Unlocking the screen causes this behaviour to disappear.
Hope this helps someone