He helped it, to be sure, but yeah, he wasn't the only reason of the economic recovery of the 1990s.
1) George H.W. Bush working with Democrats to raise new taxes in the early 90s helped establish a foundation for the recovery. It took a couple years to present itself, but it was a big reason why we exited out of a recession in '92 and started the full recovery in '93.
2) The internet basically recharged the economy. That was a huge development and invention for the world that had such a positive impact on the economy of the United States. I really can't think of anything comparable in modern times (maybe the automobile) that altered nearly every facet of the way we lived, worked and communicated. The internet created the tech bubble, which exploded growth in the mid-90s and led to one of the best stretches of economic advancement in American history. Of course, it went pop in 2000 and we've been struggling ever since.
I think Clinton rode bubble economics way too much in the 90s. Those type of economic gains are almost always temporary and we witnessed just how temporary the last few years since the tech bubble burst - as the stock and housing bubbles have popped since.
Clinton pulled back regulations and allowed the economy to grow unchecked ... similar, I hate to say it, to what we saw in the 1920s under Calvin Coolidge. Like Coolidge, though, the bottom fell out shortly after he left office and not during his presidency, so, he doesn't receive much of the blame.
Not to diminish the Clinton presidency. But the reality is, Clinton's economic record is a great deal skill and also a great deal 'right place, right time'.