I haven't seen one quite like this, but it appears to be a very late state of die wear, VLDS. Often, you will see what is called a "ridge rim" around the perimeter caused by metal movement during striking that wears down the die on the periphery. This is probably the most extreme example I've seen, if that is what it is.
It looks pretty interesting, so I don't know whether it is desirable to anyone or not. Generally, this type of die wear is not collectable.
Tantum religio potuit suadere malorum. -Lucretius
"Just because you're paranoid don't mean they're not after you." -Kurdt Kobain
I also have 1984D rim error mine is a higher grade and mine is beveled yours looks like a double rim to me and there are many collector's interested in a double rim cent. I also have a 2018D cent with a double rim worth $5-$75
WinWinChickenDin, that's called Die Deterioration. It's not an error. It's only part of normal wear and tear from the die slowly starting to break down. There's no premium for this. Your coin is unfortunately only worth face value.