An incredibly charming little puzzle game! I love the concept; seeing this interpretation of 'Flow' made it seem so obvious, yet I wouldn't ever have thought of this myself. The limited colour palette is a very tasteful touch and makes the whole game feel very stylish and polished graphics-wise. The music fits the game very well too, it's very Baba Is You-esque (and that's definitely a compliment). I was very impressed by the level of numbers, especially given the time limit.
Unfortunately, the slow sliding-into-place animation does interfere with the flow of the game a lot, as has been mentioned before by others. Aside from that, I think that it would have been very nice to have a button to instantly pick up placed wires, to prevent constantly having to go through the whole map just to retrieve them. I also think that some of the levels, mostly the earlier ones, feel a bit too straight-forward, where it just comes down to 'connect thing X to thing Y' and repeating that a few times until you're done. This problem almost entirely resolved itself in the latter half of the game, though!
All in all, great submission, and I would be very interested in seeing an expanded/slightly tweaked version of this game.