I don't think so.
1. His wife is slender and attractive, and apparently thinks very highly of him. I don't think he'll be bagging buxom wenches in the Oval Office. She won't be throwing lamps and ashtrays at him.
2. He enters office with US in some significant economic trouble. Clinton didn't. The pressure will make his opening months profoundly different.
3. He enters office with the US involved in serious crap in at least two nations overseas. Clinton showed up with Somalia on his plate, which he promptly cocked up. (Not all his fault, but his decisions didn't help.) Obama is already not throwing the baby out with the bathwater.
4. Obama won a majority of votes case, Clinton a plurality, to get into office. Hence, Clinton had no mandate, thanks to Perot's ability to suck votes away from Bush. (Or Clinton, pick your opinion) Obama thus has a bit more opportunity to make popular appeals and get support.
5. Obama is a decent public speaker, but I don't think he's as good with a sound byte, nor a concise description, as Slick Willy. His aloof act may be more appropriate to the White House, though Clinton's warmth played well.
6. Most importantly. Hillary Clinton works for him. She didn't work for Bill. That means he can fire her if she screws up, which Bill could not. Conversely, she could not (bring herself to) fire Bill when he screwed up, which as I look at it makes me chuckle.