It's really tedious to see which users you are following are not in a list and to organize and add them to the list you want. Also it takes 3 clicks to get to the list you want and in general I just feel like sorting the people you follow should be a bigger part of the Twitter UI.
Tweetdeck provided an easy way for me to read tweets from different lists that I had created. And then Twitter bought them and killed off their Android app. And from that point there has been no simple way to follows lists on Mobile.
I've actually found it more usable to create different accounts for my different interests.
It sounds like the effort of keeping the lists updated and current to provide that separation. It is possible to consume Twitter in this way, but perhaps not worth the effort of keeping the lists updated, you've really got to work at it?
It does not exist on mobile?
Personal Profile > Settings Cog > Lists
Thanks. Not present on my iOS app version, but perhaps it was added in the last few months. I've delayed app updates because of the risk of auto-playing video ads.