I think you meant to say "half dime half cent". It's a simple gimmick coin. They ground off the reverse of a dime and ground off the obverse of the cent and stuck them together. Nothing but a damaged coin...or coins. No major value just a neat collectors of gimmick coins item.
Let me show you a neat magic trick! Take a nickel and put it on top of a cent. Cover the cent. Turn the nickel around and cent is gone! The trick is a hollowed out machined nickel and a half cent and half nickel that fits into the hollowed out nickel....get it? Just like the coin gimmick you have.
Magic shop here in New York City. They have all sort of coins that do all kinds of tricks. I even have a Lincoln 2010 Cent that is attracted to magnets used for a specific trick.The Cent is hollowed out and is magnetic that you use to cover a Dime. One end of the pen has a magnet imbedded into it and looks just like an ordinary pen. You tap the Cent with the dime underneath and it sticks to the pen thus revealing the dime. You have to hide the magnetic Cent into your palm. Imagine this Cent getting out into circulation.. It would create such a stir!
Here's a 1995 1c With 10c Reverse that is on Justin's list! December 13, 2010 -- According to CONECA Member Justin Justin Duane, it’s the coin collector’s dream…buying a Big Gulp and getting back thousands, if not hundreds of thousands of dollars in return. How? By receiving back an ultra rarity in your change! While unlikely, just 10 years ago, a few astute shoppers noticed that they had received a “mule” when receiving their change, primarily in the Philadelphia area…and today, those Sacagawea/Quarter mules are estimated to be worth over $250,000 each! The lesson: check your change. Here’s five coins minted in the last 50 years that could make you rich if you’re lucky enough to find one! See The Rest Of Story
It would also be the same metal on both sides, the OP coin isn't. It would also be cent sized , not dime size. (Or at least it would be larger than dime size.) Why? Because it would have to be struck in a cent sized collar. if a dime collar was used the cent die would not fit inside the collar. (The cent die couldn't be the anvil die because it wouldn't fit inside the collar, and if the cent die was the hammer die as it came down it would hit the collar instead of fitting inside to reach the planchet.)
I already established that the OP coin is a gimmick coin. You can see by the last 2 pics that there are 2 coins combined. A silver dime with the reverse grinded off and a copper cent with the obverse grinded off and reduced to the dime size. Mule error coins are neat though and I wish I could get one also!!! Here is a 1999 mule.