You can install the Record Chrome Extension from the Chrome Web Store.
After installing the Chrome extension, provide your browser with the permission to record your device’s camera and microphone in Chrome. Learn more from Google Chrome Help at ‘Use your camera and microphone’
After installing and granting permission, you can use the Record Chrome extension to record videos in your browser. Learn more at Vimeo Record Chrome extension.
If you would like to uninstall the Record Chrome extension, right-click the Vimeo icon in your Chrome browser and select Remove from Chrome.
Learn more from Google Support at Install & manage extensions.