I've seen reports of people using #clonezila on #LVM volumes, but I wasn't so lucky.
I ended using a combination of #systemrescuecd, #partclone and #ssh to get maximum transfer speed between both computers.
The same technique many people use with #tar.
partclone.ext4 --clone --source <partition> | ssh <receiving_IP> 'partclone.ext4 --restore -o <dest_partition>'
Just remember to disable the `iptables` unit and setting systemrescuecd's `passwd` accordingly on the receiving computer.