I've been told Firefox can be ran from a USB flash drive. If this is true (I've not tried it) you could still use FF without installing onto corp. computer, complete with your profile, bookmarks, etc. Dont let "the man" see you though. An IE theme for Firefox would be right on time for this application, an always on "boss key".
You could as long as "the man" allows you to do that.
A place I used to work at did not allow any usb devices to be used. They simply did not when they were plugged in. They didn't want people copying stuff off their workstation onto a usb key or HD etc.