I updated to 2015 a few days ago, and just today, suddenly I have this problem with indesign. It all freezes before it shows anything in the startup/welcome window. It's just a blank window.
If I try to open indesign by opening an indd file, it shows the file open, but won't let you access it. The program has just frozen.
Oh, plus my Creative Cloud is signing me out every five minutes, despite two separate calls to support to try and resolve the problem. Both solutions have lasted a day or two, then reverted back.
I'm running CC on a Win 7 machine.
I should also say that I've tried the things I read in the thread about Photoshop doing the same thing, but the fix doesn't work for indesign.
Also, I can't open my indesign 2015 file in 2014. So I'm totally stuck right now.
OK - I was able to fix this by using the Creative Cloud Cleanup Tool, that you can use to do a proper uninstall of indesign and creative cloud. After that, i re-installed, and fingers crossed, it seems to be working.