I don't think personal rockets will be a thing, but the common cultural thought of it will result in something related, but improved by the injection of actual science, and a cost/benefit response.
Electric autopilot is the current closest contender for a "personal rocket" type transportation solution. I'm sure there are others, too.
I'm looking at the problem being solved, versus a single potential solution for it.
Smartphone "revolution" is a communications revolution, and not much more than that. Smaller and better performing computers, sure, it's nice. But it does not move the needle in civilization-development sense to me.
As for rockets, they are hugely inefficient ways to transport large cargo, so if we want personal space travel, it'll have to be alternative technology or something really worthwhile in space for us to invest that much.
If you are only talking personal small rocket launching, there's already a thriving community doing that.