Along comes a new way of transportation, it's very experimental and dangerous. We improve and improve and eventually we feel confident enough in our abilities to lie to ourselves and say we perfected the mode of transportation.
Trains. Plains. Automobiles.
Soon enough the elite get their hands on it. The rich and powerful take vacations just like everyone else, but instead they do special things. Who'd want to go to Rome and hear about the gladiators - let's see some Christians fed to the lions papa!
Seriously though, we're humans we make mistakes. Maybe in 2834 we'll hve tourists, and for whatever reason they won't go past August 4th of that year. Not because of limitations but because someone slipped up and accidentally sent their mother in law back in time. That annoying coworker. A spoon that levitates from the plate to your mouth.
August 4th 2834 is forever known as the day of the temporal screw job, when rich and budding scientists accidentally sent back their blue prints so they could have invented the damn machine faster and gotten a full patent instead of that bastards at Apple. Watch, it'll be just like the GUI, Apple'll steal time travel from Xerox. You'll have your I-phone, with new I-crap features such as skipping years, days, and replaying the last 4 minutes of a 58 year old's sex life. All in the sake of entertainment. Either that... or nothing.
We are only human, and there's no way we'd have something that cool and not decide to mess around and steal George Washingtons wooden teeth.