What are the periods of Saturn's rings? I don't mean necessarily a granular chart of all of the different rings at different distances, but is it days? Weeks?
Hours to days.

The orbital period is proportional to the 3/2 power of the orbital radius, and the orbital period of the moon Methone (and thus of the particles in its associated ring arc) is very close to 24 hours. Working from the orbital radii given in this table, I get: 


D ring: ~5 hours
C ring: ~6-7 hours
B ring: ~8-10 hours
A ring: ~12-14 hours
F ring: ~14.5 hours
Janus/Epimetheus ring: ~16-17 hours
G ring: ~19-20 hours
Methone &amp; Anthe arcs: ~24 hours
Pallene ring: ~27 hours
E ring: ~21 hours to ~90 hours
Phoebe ring: 90-500 days