A brand new help document has been created by Google and added to their developer section, which explains how publishers and webmaster can remove AMP content from showing up in search results.  Even though Google doesn’t really want you to stop this from happening, but in the even that you decide that AMP isn’t driving the metrics you wanted to see, you are able to safely remove your AMP content.  Below are instructions on how to do so.

There are links to the support documents for popular content management system providers, such as WordPressDrupal and Squarespace.  Googl has provided three methods to remove AMP content from search for other platforms or custom build solutions.

Method 1: Remove AMP from Google Search

Use this method to remove your AMP pages from Google Search without displaying
an error to the user.

  1. Remove the rel="amphtml" link from the canonical page in the source code.
  2. Configure your server to return either an HTTP 301 Moved Permanently or 302
    Found response for the removed AMP page.
  3. Configure a redirect from the removed AMP page to the canonical page.
  4. Verify the removal of your AMP page by searching for your content using
    Google Search. To verify removal of a large number of AMP pages, use the Accelerated Mobile
    Pages (AMP) report
    .

Method 2: Remove AMP from Google Search and non-Google platforms

Use this method to remove your AMP page from Google Search and Google AMP Cache
while keeping permalinks to the removed pages.

  1. Remove the rel="amphtml" link from your canonical page’s HTML source.
  2. Add a ‘noindex’ header or
    noindex meta tag
     to prevent Googlebot from crawling your AMP pages.
  3. Submit an updated sitemap through the Google Search
    Console
     or using the Webmaster
    Tools API
     that excludes your AMP pages.
  4. Verify the removal of your AMP page by searching for your content using
    Google Search. To verify removal of a large number of AMP pages, use Search Console AMP
    report
    .
  5. Remove your AMP page so that it is no longer accessible.
  6. Configure your server to send an HTTP 404 Not Found for your removed AMP
    page to Google user-agents, such as Googlebot. This will ensure that Google AMP
    Cache does not serve stale content to other platforms.
  7. If you want to keep permalinks active, configure your server to send an HTTP
    301 Redirect for your removed AMP page to your canonical page.

Method 3: Stop serving AMP from Google Search as quickly as possible

  1. Delete the AMP page from your server.
  2. Ensure your server returns a HTTP 404 Not Found response for the deleted
    file.
  3. Remove the rel="amphtml" link from canonical page’s HTML source for each AMP
    page that you deleted in step 1.
  4. Ask
    Google to recrawl
     the canonical page.
  5. Repeat steps 1-4 for each AMP page that you want to remove.

Source –