I went on a few of these meetings and thought there were some interesting people in the network. Sad to see it shut down :( That being said, the service was free and I don't know if I would've been willing to pay Weave.
One of the base use cases was Recruiter-Candidate connections.If I am looking for a job, and then I bump into a Recruiter's profile who is looking to Hire in my area of expertise, I hit like & if there is a mutual like - You start chatting and go for a coffee to learn more about the opportunity. Sometimes , these are directly the founders of small companies. The timing did not align all that well for me ,though I chatted with a lot of entrepreneurs , I never ended up meeting any one in person.
I suppose , this would have eventually grown into some sort of 'professional introduction' platform - And Weave would have charged you for the introduction. Unfortunately , looks like they couldn't get to that point at all.