Just got my hands around a 16x2 LCD screen. Just after hooking it up with Arduino I tested some initial programs from here. Just after my 3rd code using autoscroll I wanted to use this feature to scroll only one line of my screen while keeping the other static. Unfortunately, the liquidCrystal.h (arduino's inbuilt LCD library) would not support this and web forums had similar queries, but none of them were of any use.

So here is a workaround, where we will be scrolling on the first line of the code while keeping the second one static:

Check out the video (I know the poor quality, but the screen is too difficult to shoot):

Fork the project here: Arduino LCD Projects

Cheers!
Happy Hacking!