I don't see any difference between cleverness and intelligence. "Using one's knowledge in an unexpected way to reach desired results" sounds like innovation to me. Also, skill does not have to be a physical thing.

Perhaps, perhaps. However, in every instance I've heard the term 'innovative' used it can be easily substituted with 'clever'. Also, by 'physical' i do not necessarily mean 'muscle'. I meant it as a distinction between thought and practice. One can be skilled in diplomacy, which requires talking. Or in computers, which requires typing. However, a historian is not considered 'skilled' in history- He is 'Knowledgeable' about history. This is a very fine subtlety hidden in the way we talk about things.

Although, all things considered, I'm also talking in semantics. To a degree, that is the point of this thread, but perhaps I'm going a bit too far. Apologies.