Nice idea for a game, haven't really seen a concept like that before. Feels like it belongs on mobile. Feels juicy too, the animations all looked great and gave good feedback that was connected to the game's state. I think it might have been better for me if it were less based around mouse skills and fast action, and more puzzley.
I was surprised that I could connect across the white blob in the centre. I initially thought that was what was breaking the lines. When I finally worked out that they were being over-stretched I just started connecting them when they first came into view. Took me a while to work out that the blob in the middle is just a level-completeness indicator!
I wanted a bit more variety in the puzzles. It could work loads of ways, not just concentric and counter rotating rings.
Really well presented while in-game, but the default Unity UGUI start page doesn't let you know that you're playing something built with much love. Is it built with Shapes? I think that would have been my approach. So much easier to build that way...