Is there a way or chance to get notifications for lists or saved searches?

I got several lists with people/bots who dont post much but very important information. Currently i use the "favorited user"-Notification to mimic the List notification, but this way I have to manage users in multiple places. Also saved searches would help to keep track of project related hashtags.

Best would be to get separate notification settings for all types, but well, thats another story…?