This thread relates to MP 1.x and the clipboard code was changed completely in later versions.
If you ever find clipboard only works one way, it means the firewall on the computer which has the clipboard contents is blocking Multiplicity. This can happen with third party firewalls which do not use the OS firewall rules which Multiplicity will have setup.
Also if one computer believes it is on a public network vs a home/work network it will have the firewall blocking Multiplicity as Multiplicity rules are only set to be open when on a trusted network (for added security). Occasionally a computer can set itself to public in error.