This one is really weird. I had a perfectly working Eclipse + Android 2.2 SDK working in both Administrator account and LUA (Limited User Account) unde
The full answer is somewhat complex, concerning Eclipse's configuration area, the workspace area, etc. This is all documented on the Eclipse site, if you're interested.
But there's a simpler, more immediate approach, since you're not trying to run multiple users simultaneously on the same copy, over a network -- in which case you'd need the full answer.
Simply install Eclipse in a directory, say, C:/dev/Eclipse. Make sure both your limited user and your admin have write access to everything. Run Eclipse as the limited user. It should start right up, as there's nothing privileged that is needed by Eclipse.
At this point, you can lock it down as read-only if you desire. By default, all the configuration is stored within the Eclipse installation directory.
I'd suggest starting with a fresh install at this point, to eliminate any inconsistencies that you may have introduced. Though you should be able to reset things by deleting all the subdirectories of the configure/ directory (but not the config.ini). There's an official way to do that, but that's part of the full answer. :=)
I'd also suggest using a different workspace for each user, to avoid any permissions problems.
But my BIG suggestion is -- upgrade to Windows 7, and do NOT run Eclipse as an administrator!
Anyway, once you have it working -- to upgrade in the future, make the Eclipse directory completely writable by the limited user, and then update as the limited user, and then make it read-only again if needed.
Note: This is the cheating way. The REAL answer is to give each user their own configuration directory. This is only viable because you have control over both users and can coordinate any updates.