Not within the hour, but I have had a few days where I've got around 100 greens this season. I think I'm just under 1000 Greens earned this season - although that does include daily gifts, the 7 you get from the buildings and those from games etc...
I'm keeping my star player at high 9 star every season, but other than that I intend to try and save as many Greens as possible for later on.