Archive Binge: Oh yes. Not to the extent of stuff like Sluggy Freelance or Homestuck but you'll definitely end up going on one if you want to understand all the in-jokes, running gags, and bits of continuity. To give you an idea, the comic is broken up into seasons. There are 37 seasons. However, after Season 37, Shin Goji rebooted the comic and the current version only has 4 seasons, the rest being available only through Wayback Machine. Unfortunately, not all of the images were backed up with the pages, so many are still missing.
Continuity Lock-Out: Not much of a problem with the one-off gag strips or short 2-4 page storylines, but can definitely occur during the actual plot-driven story arcs. Much less of an issue since the reboot, though there are still over 350 strips.
Ensemble Dark Horse: Mazinger Z and Great Mazinger. The former once let on that he's kept in the comic because his impressive articulation contrasts well with the single-vinyl-hunk majority of the Kaiju figures.
right after Vorahk II dies.