The Pushbullet Chrome extension is at risk of being removed from the Chrome Web Store due to non-compliance with Google's Program Policies, specifically the 'Use of Permissions' section. The extension's developers have made changes to reduce the permissions requested, but these changes were rejected by Google without further guidance. The developers are now trying to guess what changes are required to avoid removal. The extension has over 1 million users and a 4.5-star rating, making its potential removal a significant issue for its developers and users.