I have experienced this issue with InDesign, Illustrator and Photoshop. I have up to date versions of all 3 apps, and I have the most up to date version of Extensis Connect Fonts (currently 24.0.03). If I launch any of the CC apps when Connect Fonts is not running, I get an error popup which reads "The Connect Fonts Typs Core that is currently running is incompatible..." I hit OK to clear this dialog, and the app continues to launch as expected. However, none of the application menus are functional after launh. Menu items are highlighted when I click them, but the dropdown menus don't appear. When right clicking or control+clicking on elements, the contextual menu also does not appear.