On Orange H3?

Yes, linux kernel is 4.4  here...
Docker Information

API Endpoint: dockerapi
API Version: 1.23
Docker version: 1.11.1
Git Commit: 5604cbe
Go Version: go1.4.3

Containers:	4
Images:	4
Debug:	false
CPUs:	4
Total Memory:	925.4 MB
Operating System:	Raspbian GNU/Linux 8 (jessie)
Kernel Version:	4.4.10-hypriotos-v7+
ID:	AAPF:U4FI:ELUF:6RG4:XPNZ:ER4X:IL4ZIYT:44RB:T7MG:OBC3:4TIJ
Labels:
File Descriptors:	18
Goroutines:	32
Storage Driver:	overlay
Storage Driver Status:	Backing Filesystem: extfs
Execution Driver:
Events:	Events
IPv4 Forwarding:	true
Index Server Address:	https://index.docker.io/v1/
Init Path:
Docker Root Directory:	/var/lib/docker
Init SHA1
Memory Limit:	true
Swap Limit:	true

No , waiting for it!
In the mean time, it is RPi3

RPI has supported newest kernel so what ? This thread is about Orange Pi.
Read carefully this post http://www.orangepi.org/orangepi ... &fromuid=144740
Orange Pi (with H3 CPU) works with "testing version" http://www.orangepi.org/orangepi ... &fromuid=144740

Yes, and on A10, A20, imx6, Armada 38x, x68, amd64, ...

kernel support is essential and as i already mentioned, it's possible to run docker on H3 boards with our dev kernel on our OS but certain things are missing - thermal protection, so it's not safe for productive environment yet.