Will likely form the basis of the official jenkins-ci image. Still working on it.
To run:
docker run -it -p 8080:8080 jenkins
To use a persistent volume
docker run -it -p 8080:8080 -v /your/home:/var/jenkins_home
You can also specify that it will run under the jenkins user:
docker run -it -u jenkins -p 8080:8080 -v /your/home:/var/lib/jenkins/home jenkins
Ensure that /your/home is accessible by the jenkins user in container (jenkins user - uid 102 normally)