A company called Blendle tried this in the Netherlands. It didn’t work. Turns out you do not want to have to think after every headline and teaser whether you want to pay to read the full article.
Few will have the patience for that when you're an adult. And especially when we're talking about pennies per article, for potentially a lot of articles.
What killed blendle was the lack of newspapers willing to sign on, and the lack of integration for the few newspapers that actually did - if I was presented with a micropayment option instead of a $10/no paywall when I clicked a link to an article on Twitter, Facebook, or hacker news, it might work. But blendle payment was only an option if you found the article through the blendle website, and their website sucked.
but my point is i'm not going to buy a $10-15/mo subscription to some regional newspaper in the middle of nowhere just because i clicked a link on twitter or hacker news to the one article they publish this decade that might interest me. i would be willing to pay to read an article, but newspapers are leaving money on the table by only offering a monthly subscription option which is obviously unsuitable for social media traffic.