The time when Honor system was introduced was in the summer (ie: mid season). That is why Riot made Honor gains "fast". For this season they reseted Honor at the beginning of the season, and most likely slowed down the Honor gain speed to "normal" (or maybe even slower). I would think we start getting those honor levels in about double the time we got it the last time. Maybe it also applies on the honor rewards - I don't know about that.
Last season, for me it took several weeks to get Honor 3 and it felt too fast. As expected, I reached Honor 4 too soon, but I didn't bother to pay attention on it anymore. And the same happened with Honor 5. Maybe this time Honor levels will feel more like achievement. I hope so anyways.