Problem with infected USBs are that they get autorun on Windows even before you have a chance to analyze them. This is a known, long term security flaw of Windows since Win95.
The very first measure would be, on your PC, to
disable autorun. This does not prevent a drive to get infected, but will prevent your computer to run the virus on its own so it won't become infected. You can safely clean the USB thing before it does any harm.
Another precaution, a bit home-made but quite effective, is to prevent a possible virus to use the autorun flaw. For this, on the USB drive, create a
folder named exactly
autorun.inf. This prevents a virus to create the dreaded autorun.inf file (since something else with the same name exists), and it must delete it before infecting, which gives a clear indication that something went wrong. If the drive is NTFS, you can reinforce it by denying full control permission to everyone. Not a 100% effective method, but for many nasties it works.
Of course, after returning from a user's system to yours, do a full scan with an antivirus to the drive, just to be sure.