I have for the past 2-3 weeks experienced that when I playing on a public server, which I used to play on for a long time and have a long living character after between 5-10 min. of playing I get kicked off the game.

When does it happen: All the time, when I sit still for a longer period of time, and also when I run around.
It isn't limited to inactivity or anything since I'm moving about.

I have experienced this more often after the 1.10 update.
It renders the game unplayable since getting caught in a fight with another and then getting booted would be fatal..