Help with a good method to create wall walking?

I wanted to create wall walking for a Naruto game I'm making but I have no idea where to start.

I was thinking of using body positioning but I don't think that would work out very good. I want the person to have total control over where and how they walk on the wall, and of course if they press Space they jump off.

What would be the best method to create this? Any links and information will be useful because I have NO idea.

Image Example this is what you should look like standing perfectly still on a wall, but sideways of course since it's a wall