It's supposed to...but it can be slow at times.I'll be checking out Webtoons and looking through my lists, reading some new comics on the App.
And then like, an hour later, I'll get a quick message saying, hey that new chapter you were reading just got released. I think there are times where I don't get a message at all. It feels very inconsistent at times and that's with the App. I don't think there's anything for the website itself to remind you.