Hi,
I have a Like 200i (2010) and also experience its strange behaviour on rough roads. :-( I think it caused by the front fork, but I also can't notice any sign of damage or strain on it. If I try to push and pull the front as Vespbretta mentioned, I noticed that the fork has much less expansion length (max 30-40 mm), than compression length, from the "neutral" position. Perhaps it's not enough on rough roads, perhaps the front of this scooter is sligthly lightweight. Perhaps confirm this somewhat, that if I pull the front break slightly (so the fork slide in a little) or even lean forward slightly to handlebar and push down it with stiff arms while ride onto a bumpy section of the road, it rides better.
So, what do you think about to put some extra weight to somewhere on the front?
On the other hand, some of you mentioned the fork oil change. Can you tell me the exact quantity and grade of the front fork oil for Like 200i? There's no any information about it in the service manual...
I'd change it also for another reason: if I push and pull the fork, it has a well hearable fluid flow noise, as if the oil should be less than needed. Or is it a normal noise?