I've recently installed Indesign CC and then deactivated and uninstalled CS5.5. If I try to open an .indd file I just get asked what program do I want to open it with. I got to Program Files/Adobe/Indesign but nothing happens and it doesn't get added to the Open with meanu so I can't select it.
When you uninstalled CS5.5 after installing CC you broke the file association. In theory you can hack the registry to fix this, but it's easier just to reinstall CC.