The LCD itself, barring cracks or fatique from flexing (don't sit on your PDA! Don't take the name PocketPC literally!

), should last forever. The backlight itself is a different story - you can get several thousand hours useful life out of the flourescent backlighting (on average) before you notice the screen has dimmed - and by that time everything else on the PDA will have broken.
The flourescent backlight tube is easily replaced using a cold-cathode tube available from a number of electronics suppliers (Jameco, Digikey, etc.) but it can be frustrating despite not being particularly difficult because the process can be time consuming. If you value your time, you might want to snap up a digitizer/screen assembly now while they're still attainable, just to have it on hand for the eventuality.
Or, just toss the PDA away if a newer one has taken its place.