There is extensive documentation of the Lua implementation here:
http://www.leadwerks.com/files/Tutorials/Lua/Getting_Started_With_Lua.pdf
See pages 10-14 for information on class scripts, especially starting at page 12. On page 18 it shows how to make an object turn each frame in the editor, using a class script.
The command documentation is all in the wiki. Start here:
http://www.leadwerks.com/wiki/index.php?title=Entities
We're also in the process of getting an example character animated, so it can be used for a "make a game" type tutorial.