That definitely happens with trademarks. In fact, they’re designed that way. You get to keep it as long as you’re using it.
Trademarks can also become so widespread that they become generic, and then the company is in danger of losing it. Kleenex, for example. This is something of a “victim of your own success” problem.
I wish there was a better mechanism for this on copyright and patents. There’s no good reason that a 30 year old video game that isn’t being actively developed should still be in copyright. Patent trolls who figure they can make more money by suing people than by licensing out the tech should be shut down.