Two things. 1) There are roughly similar numbers of chainsaw incidents as gun incidents each year in the US. Not sure if by nationwide you're referencing the US, but if so, you need to fact check a bit. 2) The fact that there are 100,000+ chainsaw related incidents in the US each year does pretty much say that you should be very afraid of your chainsaw; it's a very dangerous tool, and probably does require that most people who use them get some extra training. The main difference is that most people who are injured or killed using a chainsaw bring the casualty upon themselves. A gun has the whole murder/attempted murder thing that accounts for a fair number of its incidents. Kind of a qualitative difference, IMO.
Also worthy of note: injuries and fatalities due to chainsaws are tertiary to the purpose of chainsaws. Injuries and fatalities due to handguns reflect the direct purpose of handguns. If a Sig Sauer ran a high probability of leading you bleeding out in a field if you misused it BUT also turned trees into firewood with alacrity, the conversation would be very different indeed.