I've downloaded WatchStyler from Samsung's App site through Gear Manager to my Note 3 (Vz 4.2.2). I can design faces but the Styler doesn't present itself as an option in the Gear Manager. Everything is stock and I'm trying to place faces on the G2.
Try checking again. Open up Gear Manager, go down to Samsung Apps. You will see category's, chose "Clock" and click on "Watch Style" and double check that it show "Open". If it does, I would uninstall and reinstall.