This simple bash script can copy database or a table from one remote server to another. Can be used as a backup, but also as a one way sync on a database or table.
ssh -fNg… <- creates a permanent tunnel to the remote server on port 3307. So now from the local server you can access both local and remote MySQL.
export MYSQL_PWD=… <- Helps hide password, as long as you make this script secure, the password it not accessible.
Last one-liner does the rest, if you remove <DB_TABLE_NAME> it will send the entire DB over to the remote, so be carefuller. But you already new that and have a backup, right?