You'll have to elaborate more on what you're looking at doing. That tutorial already prints to the screen. It's entirely possible to listen and accept commands from the serial interface, but to what end? What do you mean by interrupt the main loop? There's plenty of built in examples of using both ends of the Serial communication as well as printing to an LCD screen.
Basically I combined the temperature sensor tutorial and the shift register tutorials. The temperature sensor is sending back information at the top of every loop. Further down in the loop it gets hung while waiting for a number coming in as serial input. The number determines which LED off the shift register to turn on. I'd like it to continue sending temperature data until it sees something inbound through the serial connection.