You can have both installed on 2 computers, but there might be some system requirement limitations. Which OS are you using on both machines?
This may also help
CC desktop lists applications as "Up to Date" when not installed
Programs won't display if they will not install on your computer
Nevermind! I just discovered that the shy and elusive (read: never accessible when you're actually clicking in that area but appears randomly at other times) scrollbar in the CC window will take me to a list of CC apps!
Thanks for the quick reply, but I just figured out it was my own error - well, the fact that the CC window is hard to scroll down in was keeping the CC versions of the apps hidden ;-)