The top part of fence is going through horse and the obverse initials you can see under horse legs. Pocket change from yesterday. Finally something I know that has to be an error .. but I've been told many times it's not. But thisss... c'mon
I think you meant to say variety. A verity is something that is true. ver·i·ty /ˈverədē/ noun noun: verity; plural noun: verities a true principle or belief, especially one of fundamental importance. "the eternal verities" truth. "irrefutable, objective verity"
Looks pretty interesting, though. I would keep it. The fence rail through the horse is easy to see and must be rare.
Rarity would depend on how many more coins were struck before it was either polished out or the die was changed
I'm not sure what you have here from just looking at the photos . I do not think it is from a clashed die . The horse area is a sunken in area on the coin die and the obverse die would not be able clash this deep down into the sunken in design. It looks like someone has scratched two lines across the horse or has been done by being out in circulation.
A die clash would have part of the design from the opposite side. This is all from the same side. Therefore it's not a die clash but from an older die that has been polished by the Mint to restore design details and then it's worn again. Just a worn die issue with no extra value but interesting to find.
I don't know that's a "part of the fence rail " going through the horse. Maybe it's a planchet issue? Or delamination/ dissimilar metal issue.