In early August we reported Google is bringing AMP pages to the core mobile search results. Google never told us when this would happen exactly but it seems to have gone live today/tonight.
Many folks are now seeing it for ordinary searches in Google while on their mobile devices. AMP pages would only show on mobile results, so that makes sense.
For example, Glenn Gabe posted screen shots on Twitter of his own site's AMP version being listed in the core mobile search results. I then tried it myself tonight and I am able to see this site and other sites show up in the mobile results with the AMP logo and yes, clicking on it takes me to the AMP page.
Here is a normal search for Google Penguin 4.0 on Google mobile and it shows a listing from my site in the core results. This is not the "in the news" box:
Yes, before, AMP pages only showed in the "In the News" section for mobile results, if the pages had structured markup. This is when it first launched back in February. So here is an example, the top is the In The News carousel that would only show AMP pages and then below it is a YouTube listing that doesn't have AMP and then an article from The Verge where Google is showing the AMP version, even though it is in the core mobile web results:
I've been seeing weird traffic data from Google Analytics for this site to my AMP pages, maybe this is why?
Forum discussion at Twitter.
Update: Google confirmed it 12 hours or so later.