I would assume that the latitude of the viewer would affect the appearance of the rings, at the equator the rings might not be anything more than a thin line across the sky. At the higher and lower latitudes the rings would be a bit more prominent, maybe barely visible in the day, like mountains that are not quite out of sight. At night, the rings in the sunlight would reflect sunlight just like the moon does.
Also, the rings would cast a shadow across the planet depending on it's axial tilt. Winter could be punctuated by long eclipses when the rings pass between the surface and the sun. These umbral days could cause the planet to have violent weather as the shadow causes the atmosphere in the area to cool. I'm sure a more mathematically inclined member might be able to estimate how long this sort of ring shadow would last. It could be a seasonal thing, with entire bands of the planet in twilight for months.