Ahh, this was so cute :) Just a really smooth platformer with a lot of care put into it. Saving from a slip is a bit tricky, but it seems like there's always a way to avoid slipping in the first place, so it becomes a kind of tradeoff where you can decide which way you want to approach things, and that's pretty impressive emergent behavior for such simple mechanics.
Slipping from running into someone is a good idea but plays a bit weird in practice, since only one of several kinds of people wandering around can actually trip you. Maybe, counterintuitively, the squirrels should just always be running? Would make it more clear what they do and save you from gotchas like one starting to run while you're already halfway past.
I vaguely wish there were an ending, though this is really more of an arcade-style game so I have no idea what it could be really.