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It connects to your iDisk via https to secure the link and it is highly unlikely that https would be blocked by your workplace for what I hope are obvious reasons. Whether it does any other voodoo to access your iDisk I don't know.

Btw, you do know you can browse your iDisk using your browser don't you? It is a pain to use in comparison to a normal Finder view, but if all you need to do is upload or download a few files at a time, it is functional enough.