I've been researching tools like these for a while and while none of them are even close to perfect, I've found news.me to be the better of the two (<i>just</i>).. so don't hesitate if you're going from Summify.
Summify user here. Loved their iPhone app and it felt like the quality of news delivered got better over time. It wasn't just about the frequency of links in my twitter feed (or else I'd get a bunch of crap), but it allowed me to like certain posts and it tracks which topics I'm most interested in.<p>I'm also looking for news more than once a day to stay relevant. Summify delivered summaries every 6 hours for me - if you could incorporate this in your service, that'd be awesome.