Over the past few months since AMP has been more visible on Google's mobile search results and other places, more and more have been asking in the Google Webmaster Help forums about how they can disable it from showing up as a searcher. Finally, Google responded that you can't but you can submit such feedback in the Google feedback form.
Some searchers do not like the horizontal scroll, how when you go to an AMP page, you can swipe to see different articles instead of going back to the main search results. Here are some of the complaints from searchers in this thread:
Hi, the sticky post in Google News said I should post AMP questions here. How do I disable AMP results in Google News? Half the time when I click on an article I want to read, I can't scroll down, only on adjacent articles that I don't want to read that pop up when I swipe left or right. Can I go back to having my news articles load normally again?
AMP is a horrible user experience. Sorry, but i don't want you dictating some crappy swipe widget and block me from direct access to the news article. Please, please provide a way to disable AMP.
It goes on. Well, at least now, Google's Elena L. responded, so we know Google has seen this feedback. She told users to send the feedback to the feedback form. She wrote:
Just wanted to chime in here to say that we are listening to your feedback. While there currently isn't a way to "disable" AMP results from Google Search or Google News, we do appreciate the opinions expressed here. The best place for you to send feature requests and bug reports is through the Feedback form generally found within every product's account or settings dropdown menu. This method will allow us collect all the details we need in order to adequately address your issues and suggestions. Thank you.
I doubt we will see a way to disable AMP in search but who knows.
Forum discussion at Google Webmaster Help.