Once you have opened the Bamboo view in Eclipse, the Bamboo icon at the top of the view shows the summary status of your builds. If at least one build is currently failing, the icon has a red cross:
Screenshot: Bamboo status icon at the top of the Bamboo view
In addition, when the build status changes (e.g. a build fails or some other change occurs), an Eclipse notification popup window appears.
Screenshot: Bamboo build notification
Next, take a look at running the build.