When I tried Disk Utility the tmp, var and etc folders were visible in the Macintosh HD.
There's a thread around here about using an app called Pseudo to get CCC to work. Or you can just open up the Terminal and type...
sudo open [drag CCC app in here]
...it will prompt you for your password, then open up CCC.
When CCC is open it should work as normal (won't freeze when you try to unlock it) - I've used it this way about 4 times since instaling Tiger (and am right now on my iBook).
Hope that helps.