Quip admins can disable their org from being able to set Live Paste to Automatically Update. This means that only someone with access to the source material would have the ability to update the Live Pasted content. This removes a desirable automation feature that ensures the content is always up to date but can be useful if there are security concerns around the feature. To learn more read this Live Paste article.
To disable or enable automatic updates with Live Paste:
1) Go to the Admin Console by clicking on your picture in the bottom left> Manage Site and Apps > Admin Console.
2) Next go to Site Settings> Allow Automatic Updates for Live Pasted Content > then toggle to Enable or Disable.