Hello, Kevin. If you get another chance to look at this thread and post a reply, please remember to tell us something about where you heard or read this sentence. That information helps other members provide you with reasonable answers to your question. Thank you.
This sounds like a remark that refers to an old movie starring James Dean that was called "Rebel Without a Cause". The movie was basically about disaffected teenagers who were living in the U.S. back in the 1950s. During his short career, Dean was pretty well known for his ability to portray interesting, emotionally complicated and troubled individuals. Why did this speaker use "Rebel With a Cause" instead of "Rebel Without a Cause"? I don't know. Your guess is as good as mine.