Ummm, so shoot a video of the playing video. Or hack into the display circuitry. With that, you could stream a copy somewhere, even if both parties were present.
OP here, this is addressed in the FAQ, I'll paste it here :) > How do I know my partner won't abuse my trust? > You can't. However with Rumuki you have the discretion to only grant playbacks when you can keep an eye on them. You also have the option to revoke all playback grants and delete the recording if trust is ever lost.
There is, of course, no technological way to prevent someone from capturing a video through the analogue hole (i.e., pointing a camera to the video as it is played), even if we assume that is possible that a consumer device can be controlled to such an extent that its owner can't find a way to capture the video output digitally.