Do we have any idea when these products will be in stores?

If you are referring to the beginner's box, 8/9/2018. If you are referring to the core rulebook, some time in Fall.

Have there been any clues as yet as to when the dice, the GM screen and core book will get released other than the vague "Fall" bit?

24 minutes ago, daddystabz said:

Have there been any clues as yet as to when the dice, the GM screen and core book will get released other than the vague "Fall" bit?

Nope. Last update was the 7/3 'At the printer' update.

Until the upcoming products say "shipping now," we really won't have a viable means to say when those products will be on shelves given that (at least for the Star Wars line) there's been all sorts of delays and issues causing several of their books to be in "shipping now" status for several months; I think Cyphers and Masks wins the award for longest stretch between announcement and actual release with much of its time spent in "shipping now" status.

Once the status does change to "shipping now" then we know it'll be released in a couple weeks from then.