I think luck, or the lack thereof, plays into any Presidency and Clinton is no exception. He definitely had the pleasure of holding office during a time when, as you say, the internet was taking off. That said, he did a lot of things to help foster ideal conditions for that boom to happen.
Economic changes are glacial. Clinton presided in an era when the economic policies of Ronald Reagan were begging to bear fruit.
George Bush I continued Reagan's economic policies and failed to get re-elected for it, despite winning the Gulf War. The economy, stupid. Reagan and the failed concept of trickle-down economics were long gone in the Clinton era.
The problem with this popular conservative talking point is that it simply isn't rooted in reality. In reality there is room for both economic models, conservative and liberal, with each having it's appropriate time and place.
