If your Bamboo plans retrieve source code from a repository, then each build should list the changeset (files, authors, and comments) since the last build. If those comments contain Jira ticket keys, then those keys will be listed in a "JIRA Issues" section of the build along with their description and status. And depending on your setup, if you go to a Jira ticket it will list all the Bamboo builds and Crucible reviews that reference that ticket.
Now, it would be up to you to come up with a way of suck up that info (much of it is available via the REST interface) in a way that makes sense for your environment.
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