I have to disagree. Rimfire firing pins hit at the edge of the chamber, and without something to cushion the blow, the pin will hit the edge of the chamber and cause a burr. I have a tool designed to fix that, and I've used it numerous times to repair rifles and revolvers that were dry-fired.
I have to disagree with this post. I just did a quick count of the number of .22 rimfire guns I have and I come up with 89, ranging in age from 1910 to 2014, and on NONE of them does the firing pin hit the edge of an empty chamber. I have dry-fired all of them, some thousands of times, and one probably tens of thousands of times as I shall explain below.
The few examples in this thread where there is damage to the chamber from the firing pin are all examples of too-long firing pins.
Broken firing pins are much more of a risk from dry-firing than chamber damage. However, there can also be other unusual damage as I found out nearly sixty years ago. In the interests of full disclosure, as a teenager, I got a new Ruger Single Six .22 in 1955 during the beginning of the television Western craze, and "fast-drawed" it (dry-fired it) so many times for several years that the hammer spur "crystalized" and fell off!
I wrote Ruger and told them what happened. Ruger sent me a new hammer without charge and I installed it myself. (Can you imagine any gun company doing that today for a kid that wrote in - or for anyone for that matter?) I still have that gun today - and it has NO damage to any chamber.
"Dry-firing" is one of those practices on which there will always be two opposing camps. Whether one dry-fires or not is a personal decision, but the fact is that NO modern .22 rimfire firearm is designed so that the firing pin can hit the chamber edge of an empty chamber. Those that do are defective.