Wow!
First off, the presentation is very good. The graphics are delicious old-school goodness--although I suspect this game could never have been made on the Gameboy, due to the complexity of the tether. You do a lot with this extremely limited palette; the visual design could not have been clearer. Also, the music is very catchy.
Most importantly, the gameplay is entertaining and very original. I really don't think I've seen a mechanic like this before, although I'm not a fanatical player of puzzle games, so I could be wrong.
I really enjoyed the humor in the radio banter. I suppose the cuisine of the future will involve a lot of incompatible ingredients.
A couple of very minor quibbles:
1. The dialog window that appears when a radio message comes in is rather intrusive, so I found myself wondering if the introductory message really needs to play before every mission. Similarly, I wondered if the message that appears when you find the last power cell could go away on its own--more than once, in a blind panic I pressed A instead of B and pulled my tether into the path of an oncoming robot!
2. The exclamation point in the font looks a bit like a question mark. That threw me for a loop the first few times.
3. Several levels were very frustrating, at least for me. Of course, excessive difficulty is the curse of the game jam.