This looks like a good idea. I feel that adrenaline rush I normally feel when I plan to set up something that will certainly make me work (like when setting up beeminder). However, I wouldn't like to do this via a chat room, unless via email fails. I don't like the fact a chatroom will drag 100% of my attention and time during a specific amount of time. Moreover, my week is not stable enough to commit on fixed weekly chats. I realise that by chat there's more of a social bonding thing that would entail more peer-pressure, but I think that by email there will be enough peer-pressure.

I am willing to set up a weekly deadline where we must send each other a short weekly report, under the penalty of the other party commenting here the other didn't follow through(or some other public forum). The report would contain (1) The next week tasks, (2) how/if past tasks were completed and (3) what were the problems and how to fix it. Then the other party would have the next 48h to submit short feedback. What do you think about that?

The only caveat, for me, would be if I find your tasks extremely boring or useless. Then I would have incentives to want to stop doing this. What types of tasks would you report on? You mentioned productivity goals. Does that mean we will only share self-improvement goals of increasing productivity? This looks like something (1) without a clear success definition, and (2) too personal for someone I just met. I prefer to share actual, first-order, concrete tasks, not tasks of improving tasks. I'm currently working on my thesis draft chapter about complexity of value and moral enhancement, and on a paper about large-scale cooperation.