It's running smooth but not as fast or fluid as the Nexus 5.
The annoying micro stutters when going in and out of apps have disappeared and Chrome is easier to use.
However the SQ when playing music has degraded a tad and is one of the issues that LG need to address in their next update.
Overall I'm impressed but it still isn't up to the N5 standard however battery life on this device is a godsend.
How's your Note III running with KitKat?
Was going to get the device but will wait for the Note IV instead.
Aleast there was an improvement - good stiff.
The KK update on the Note is very minimal. White icons and the a few new animations and font size tweaks. Very minor IME and the performance is maybe a touch improved.