An idea that's probably terrible!
Top: mid-late scaling top laner/duelist
Mid: mid game assassin
Jungle: Tank/bruiser frontline/engage
Bot: safe 1v2 champ
Support: 
Levels 1-3 play out as normal, after bot lane hits lv 3, mid should be lv 4, Yuumi moves to mid and duo lanes against the enemy mid, helps push them out of lane to keep up in exp, and then have a juiced-up monster roaming around the map harassing the enemy jungle and killing everyone they run into.
Mid will get extra exp from invades and pushing out on roams, and bot will hit 6 before the enemy bot lane and has a good chance of forcing a 1v2 if they can avoid getting poked out.
Probably a terrible idea, wouldn't work against a lot of enemy team comps, but it seems like it would be very fun to try with a coordinated team into the right matchup :P