It's a small problem, but a niggling one. Anyone else had this?
All other apps installed fine, except for YouTube, which freezes at 100% every time, and crashes out with an "installation stopped" message. The only option is to press the home button "for more details" which takes me to the YouTube page on the App Store. Rinse, repeat. With nothing to reset or uninstall, it seems that I'm out of options.
Had the exact same problem, and here is a solution that worked for me. I plugged the Xbox one directly into a power socket on the wall, rather than the power splitter that I was plugged into, and it started working again. Long shot, but I hope it works for you. For the record, the Xbox One has to be the most frustrating system I've ever owned!