The site is compatible with the Tapatalk app, as far as I recall. You can gain access to CC through your mobile browser, but it needs to support Flash content. Since Flash will no longer be developed nor supported for Android devices per Adobe, Tapatalk will probably be your best option for the Forums, at least.
As far as the chat rooms themselves go, unless you sideload Flash onto your phone (unless your browser supports it), there isn't an alternative for the chat plugin (yet). Maybe a workaround will come around soon!