I use Ditto. It keeps your clips in a Ditto.db file you can sync across devices. However, it is only for Windows. Also you have to modify it’s options to make sure the database size stays small. It will copy entire files and folders if you let it.
Handover syncs clipboards, and web links from certain apps like Chrome and Youtube. Works on almost any OS. It requires root and Xposed.
You must consider the security problem when keeping your entire clip history in sync. You often, unconsciously clip confidential information. Could be dangerous.