Safe browsing will work if Chrome data saver is enabled. However, encrypted (https protocol) sites and sites visited while Chrome data saver is enabled prevent full inspection of the URL. Lookout can only inspect URLs that are on the screen through the accessibility service. When data saver is enabled only a partial URL is provided, so Lookout may not find the site malicious if the redirect is located deep within the URL.
Note: Information is for devices running Android 6.0+