The screens currently on the market obviously haven't been in use long enough to show any signs of long-term screen burn, but screen burn is a lot less common in the latest models, and just about every manufacturer, Panasonic included, has a strategy built into its screens to avoid screen burn, such as pixel shifts and orbiters.
Most people only see screen burn on very old screens at airports, stations and the like, which have been displaying the same grid for many years, 24 hours a day.
Temporary image retention can occur if the screen is abused - eg left with a still graphic image for a very long time - but this will usually vanish after a short period of normal use. Some screens also have a white screen function which will erase these temporary effects very quickly, but these tend to be the ones designed for commercial use rather than domestic operation.
As I have said many times on here, I am currently running a Fujitsu 50 in screen - no tuner, no speakers, just a screen - that is, to my knowledge, around four years old, and it shows no screen burn and still looks so good that I'm quite dismayed when I see some of the latest whizzo sets in action. I'd make an honorable exception for the current Pioneer Kuro screens, which would be the only ones to tempt me to change if and when this screen ever fails.