Having just started using Parse for a recent iPhone app, I will say this is a pretty awesome feature. We have many channels that get automatically sent notifications using the REST API, so monitoring their activity will be very useful.
I haven't used their Push Notification service yet. I've just leveraged their mobile backend services so far. I was talking in general, that I am pretty pleased with their service and documentation thus far.
Parse is doing some great work. I'm leveraging them for a university design project and it's been trivial to set up and use. Congrats guys, and keep up the good work!
