From what I've read, only the actual copyright holder has the right to sue others for copyright infringement. See the Righthaven case from last year.
http://arstechnica.com/tech-policy/2011/09/righthaven-copyri...
http://arstechnica.com/tech-policy/2011/09/righthaven-copyri...
Craiglist does have a copyright use license, and thus has the right to enforce the license it has been granted.