I'm not sure I understand your question, but I can attempt to answer from what I interpret...

UNO is a unique coin, like all bitcoin clones, and can only be used with the UNO qt wallet, or unobtaniumd daemon, both of which can be downloaded from the OP (at least until alternate services exist, like an UNO android client, or electrum-uno client, they do not yet exist to my knowledge).

That being said, you should be able to transfer UNO from one exchange to another exchange without an issue. In that case you are relying on the exchanges that are running the unobtaniumd client on their end. Note that you are typically not in direct control of those exchange addresses, they are being handled by the exchanges. The only current addresses that are in your direct control at the moment are the UNO qt wallet (or if you have your own instance of unobtaniumd) and the paper wallets (which you cannot send from, you must import them into the UNO qt or unobtaniumd).

Hopefully I have not confused you more...