I didn’t have one and don’t know anyone who did who used it. But I might consider one of these, which look like fun.
My dad bought me and my sisters a pogo stick for Christmas one year. It was the early 70s and our ages were around 10, 8, and 6. The spring was too stiff and we didn’t weigh enough yet. I remember a few years later though, I was able to master a few hops on it. By that time it was getting rusty. 
One sister had the Hoppity Hop (giant rubber ball with a handle that you sat on). We all played with that all the time. We also had a bouncing horse - not sure what they were called. It was a realistic looking plastic horse with tension springs that held it up on a metal stand. That was used consistently. I still have it! We also had a Cloppity Clop horse (I think that’s what it was called). You’d sit astride like a real horse and use your weight to make the legs move forward. It kind of looked like Gumby’s friend Pokey.
When we were kids in the 60s, my little sister had a pogo stick, stilts, and a unicycle. I never tried any of them, neither did my brother.
I was a kid in the 50s/60s, so I had a pogo stick! I don’t think I ever hopped up and down more than 4 times in a row before falling down. My neighbor could keep it up for minutes on end, and she was 5 years younger than me.
I never owned a pogo stick, but in the early 1990s my middle school had some that we would occasionally get to use during PE class. Once I got the hang of it it was pretty fun.
Some of the youngsters nowadays are really good with them. Last spring, at my school we had an event with a bunch of different competitions between the years, with one of them being a pogo competition. Each year had two representatives, who all started hopping at the same time, with the last one hopping winning. The last three kept going so long that they had to make it progressively harder: No hands and they all kept going. Other students passing basketballs to them and they all kept going.
My sister had one of those and my gods she could travel on that thing! It wasn’t the Clippety Clop though, that was one of the ones on a fixed stand with springs at the corners to let you bounce up and down. The free standing one with spring feet was the Pogo Pony–so here we are, back at the OP. Ta-dah!
Pogo Stick II: Electric BooGaLoo?
couldn’t resist
Yep! That was it - the Pogo Pony!!