Veteran jailbreaker, Luca Todesco (@qwertyoruiop) has released his much awaited first public jailbreak for iOS10.0-10.1.1. As usual, in the early days, it's very unstable right now. Cydia Substrate still doesn't work. Give it time, gang.
Don't risk your 10.1.1 firmware quite yet. But light at the end of the tunnel now!