NVIDIA Users:
Open up NVIDIA Control Panel, under 3D Settings on the Program Settings tab select Skyrim from the drop down menu and then change the "Maximum pre-rendered frames" from the Default of 3 to 2, doing this completely killed my brothers indoor stuttering.
ATi Users:
Never used ATi but I think your setting for this is Flip Que Size? Anyway just change it to 2.
I tested this 5 times over to make sure it wasn't placebo, sure enough this killed his stuttering and mine too!

Lemme know how this works for you lot.
His Setup for those curious:
Windows XP SP3 32-bit
AMD Athlon 64 x2 4800+ (Soon to be E5700 @ 3.6GHz)
2GB RAM (Soon to be 3GB)
XFX GeForce 9600 GT 512MB
He's running at 720p at Ultra with shadows at Medium and his Framerate is good
(35+ FPS)Mines in my sig of course.
