UPDATE:
THIS IS NOT A GAMEPAD ONLY ISSUE, AND HAPPENS ON ALL PLATFORMS.
This also happens with mouse and keyboard if you set your character to walk. Watch videos linked below to see the issue in action. (Thanks to parabolee over at GAF for the video)
https://www.youtube.com/watch?v=1CcTnsIb4RA&feature=youtu.be
Here is another video from G-Red on who posted in this topic (Thanks!).
https://www.youtube.com/watch?v=c_Ey9gX2i9s
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There is a huge issue with the camera when in 3rd person and having your weapon equipped, if you move the camera and also try to move your character at the same time, the camera will often get "stuck" for a second before moving again. This makes aiming a real problem in third person.
It seems to happen only when your character stops moving and then starts moving again, while the camera is trying to move at the same time.
Please fix this issue Bethesda it makes combat in third person almost unplayable.