I never added anything to the behavior for the debugger or save/load. The only issues would trying to do something the chipmunk library doesn't allow. I wasn't able to protect against all cases. Normal use should be fine. Also the collisions seem to be spongier than box2d which may or may not be an issue.
I concur with what ossyrag said, behaviors are just JavaScript so they should run the same across anything that runs C2.