Earlier quoted context omitted.
This is a bit knee-jerk, no? I highly doubt you waive the right to repost your listing ANYWHERE; rather, this is legalese allowing them to sue anyone using their listings without consent.
Read the text. Exclusive license. That means you may not license your post to any other site; giving someone else permission to display your listing is a grant of a license, and such a license is explicitly mentioned in the terms of any UGC site, including Craigslist. The difference is those other terms always say NON-exclusive. Go ahead and stop by YouTube and do a search for the word. This isn't boilerplate legales…
EDIT: Okay, let me be less flippant. I ask about you being a lawyer because we don't know how Craigslist will enforce this policy. Everyone is assuming the worst -- CL will not let you post anywhere else! -- when, in practice, such a policy is probably not enforceable in court.
You have a well-reasoned comment, sure, but someone can't really speak to the enforceability of this without practicing law.