I think it would be neat. Maybe allow each person to give one word describing their scene to the next person (ie what they have in mind) and that's all they have to work with in connecting it:
Ex. Scene 1:
They are given an idea/word by you.
Scene 2: Scene 1 author gives 1 word to scene 2 author as a hint about how they might be able to link scene 1 to scene 2.
and then Scene 2 would tell Scene 3 one word etc.
The word doesn't have to be anything meaningful, it could be dumb stuff too.
This would lead to at least some type of chain, although it could be grossly misinterpreted (which might be the idea

).