Thank you! And that's a really good question. Since it's summarizing the articles, I would assume that there shouldn't be any issues regarding copyright. Regarding the comments that it's using, I think HN generally has some rights to them, although again it's more of a summarization. Generally HN seems cool about these things.
Now, if you were to scan the homepage of the BBC and create a news broadcast from it, they probably wouldn't be too happy about that, understandably. I have no idea how this would fare in court though.