I am running the latest version of Google Chrome Portable (3.0.195.33) and it is on a limited account. It runs and works fine, but when I close Chrome I get a system message saying "Registry editing has been disabled by your administrator". So Google Chrome Portable must be trying to write to the registry.
It seems your admin is very strict about PC monitoring. Most programs need regestry access to run correctly, and all applications on this site need access to the regestry. It seems your administrator realy doesn't want anybody messing around on the PCs. You're going to have to talk to the administrator about that. Sorry for the inconvinience.
Edit: Oh, it runs, but closes with the error? *laughs* Ok, apparantly, the PC isn't letting the program remove it's traces. So bacicly, the admin lets the apps add regestry entries, but it doesn't let it clean them up. XD
So, the only real side effect might be that Chrome might not be 100% portable, and may leave a few settings behind, but other than that, it should be safe to ignore.
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I have the same problem when I use at work. It does not interfere with its usage.
Actually I am quite happy because I know nothing is written in the registry.
What it looks like is happening is the Chrome launcher is using nsExec and reg.exe to restore the registry state, which is not recommended since many admins lock down reg.exe. Ideally the launcher should be manipulating the registry directly with the API functions for that purpose; registry writing can't be disabled entirely, else basically nothing will run, ever.