I'm not 100% certain how the application manager interacts with LR's normal installs, but you could try installing directly from
Windows http://www.adobe.com/support/downloads/detail.jsp?ftpID=5521
Mac http://www.adobe.com/support/downloads/detail.jsp?ftpID=5520
I *think* it should pick up your cloud license, but I can't check that.
Alternatively, try Adobe’s one-to-one chat support at http://adobe.ly/yxj0t6. It is free.