One of our trees had to come down this spring, I have a wood stove, and Mustachian Buddy had a sister and BIL with a wood splitter in the next county. I "rented" it from them (though being good people they would have likely just let me use it for free, delivered it, and picked it up because that's just the kind of folks they are). I insisted on giving them $100 for the few weeks I had it. I would have paid the same money to Home Depot for a rental (and had to finish in one day) and they didn't need it back any time soon. Mustachian Buddy helped split some of the wood and got a load of firewood delivered to his house for his efforts. It worked well for all parties. But I think this is probably the exception to the rule, because everyone knew everyone and the liability issue was not a concern. But what if the splitter broke down through my negligence (or not, I just happened to be using it when a part wore out?)? Hmmmmmmm..... things can get tricky sometimes.
I think I agree with the folks above. I have a hard time seeing it unless you want to be a lot more formal with it (LLC, insurance, etc.), as my circumstance is not very likely.