Some times coins would get caught inside the slot machines where I worked. I am by no means any expert, but the coins would wear down similar. I have no idea about your coin but thought I would throw that in. We would have so much fun looking for silver half's. Now most everything is coin free.
Was going through some older files on the PC when I ran across something. And as I'm on the last day of data usage, I'm running on vapors!! So instead of posting, you'll have to go there yourself: Die Adjustment Strike Errors - US Coin Mint Error Images
Not sure if yours might be similar to the one on the bottom (the Kennedy), but looks quite similar. Have no idea of value, though.