It doesn't restrict the federal government from regulating or prohibiting it either. An abortion now is a commercial transaction just like any other purchase. The Commerce Clause gives Congress the power to regulate it. They can ban it completely, but with the right Congress make it completely available. This may well have opened up a whole other can of worms.
Which brings to mind and other Supreme Court precedent that needs to go. Wickard v Filburn.
They got it out of jurisdiction of the Supreme Court, where it should NEVER have been, morally or constitutionally.
Also, gay marriage already has a built-in constituency of married gay couples, so it's doubtful that the courts could literally overturn gay marriage. If a state wanted to replace it with domestic partnerships, there's a remote possibility that the courts might allow that, but at this point it's not likely.
The driving force behind opposition to Roe was the idea of a right to life. It's less likely that one could find a similar principle to mobilize against Obergefell. State's Rights or Back to the Bible aren't strong enough.