Yes, it is true that teen pregnancies did decline during the 1990s. And teen abortion rates began to decline beginning around 1988, before Clinton was president, and have continued ever since. But exactly what role did, Hillary play in this? I would argue that it was the tireless work of pro-lifers, and certainly not the Clintons, who lowered the abortion rate. The number of Americans calling themselves pro-life has risen dramatically since 1995.

From the way Bill Clinton talks these days, you would think that Hillary was president during the 1990s.

While it is true that Clinton signed into law a bill that would make adoptions easier, the bill was initiated by Republicans. I rather doubt that Hillary had anything to do with it at all. From ABC (emphasis mine):

About 15 minutes into his talk, a group of people holding up signs in the audience began harassing him about the issue of abortion. Although the clearly devoutly pro-life group of people were here to cause trouble, Clinton didn't take the bait, responding with a long policy-type answer about Hillary Clinton's views on abortion.

"And guess what? Even though she, as a woman, did not believe we should overturn Roe v. Wade, she said, and she said again, at the outset of this election, that every abortion is a tragedy, and they should be more rare, but safe and legal," Clinton said.

...

"But when Hillary was in the White House, she supervised our efforts to, number one, let young women, who have children out of wedlock, live with their parents and still keep all their welfare benefits, so that the grandparents can take care of the kids while, the women went to school," Clinton continued. 

"Number two, [she] led a serious effort to reduce teen pregnancy, and we had the lowest teen pregnancy rate since the statistics had been kept ... And guess what? Without overturning Roe v. Wade, or trying to keep people all torn up and upset or calling them killers, the abortion rate went down almost 20 percent on our watch."

...

Eventually though one man had enough and shouted out, "what about pro-life, though?"

It appeared that Clinton had had his fill and erupted on the man as the rest of the audience applauded the former president. He was so angry, we, in the press, couldn't keep up with what he was saying.

...

"Now, you can't name me anybody presently in politics that did more to introduce policies that reduce the number of real abortions, instead of the hot air putting out to tear people up and make votes by dividing America."

An unrelenting Clinton continued, "This is not your rally. I heard you. That's another thing you need is a president, somebody who will stick up for individual rights, and not be pushed around, and [Hillary] won't.

"The policies she spearheaded saved a heck of a lot more lives than all the TV ads that were bought and all the hot air that was spread. And we ought to talk about that."