Well I think that both Apple and Google have tried to do this with their respective newstand apps but I'm not sure how successful this has been.

Also revenue I guess, for such a service is probably a good bit less than getting your readers to pay soley for access to your publication.

Blendle offer a pay-per-article model. It's very hard if not impossible to make a sound business case for the Spotify model in journalism. The running costs for creating new content on a daily are much higher.