Wet noodle only, at the worst.
What I try to do is make the general ODP process as transparent as possible, while protecting editors' specific actions. Editors must answer to the community, and indirectly to surfers; editors must not at all ever answer to webmasters.
That explains the big difference in reaction to complaints like "category blablabla is filled with type-v spam, to wit, spam1.com, porn2.net, and offal3.co.us" (which brings out the fire brigade) and complaints like "you all do know that of the 3 million good sites you haven't listed yet, one of them is mine?" (which brings out an "hmm? yes, that we do.") The former is fundamentally a surfer complaint, the latter is a webmaster complaint.
Somewhere in between comes the "you all don't have any sites on Trans-Ural Marathon Tiddlywinks Contests", which often inspires some concerted effort to build up that justly neglected category.
Oh gosh, I didn't keep track of when ...at least 30 days though. Is it possible for ODP editors to query site submissions by date range, submitted url, category or member name? I know this might be alot to ask given the volume of submissions you receive... and I know should keep track of my own submission, I know... 
