It's "Bitcoin Cash", and not "Bitcoin Cache". 
If you stored it on localbitcoin, unfortunately this is not a wallet where you hold your private keys. Unless localbitcoin announced they would support the fork, which would be very unlikely, then you will not be able to get the forked coin.
There were announcements and posts on every social media platform out there leading up to the fork to take them off exchanges and move them to a wallet that supported the fork. I'm sorry to say, that it is too late to get the bitcoin cash.
Hmm. And if it is now transferred to a purse of Bitcoin Core, and through a private key, can I do it? Or can we just forget? If you stored it on localbitcoin, unfortunately this is not a wallet where you hold your private keys. Unless localbitcoin announced they would support the fork, which would be very unlikely, then you will not be able to get the forked coin.
There were announcements and posts on every social media platform out there leading up to the fork to take them off exchanges and move them to a wallet that supported the fork. I'm sorry to say, that it is too late to get the bitcoin cash.
