I entered the U.S. In October 2011 on the Visa Waiver program. I overstayed for 4 months. Can I still file for AOS or do I get deported?

This question cannot be answered without more information. How is that you believe that you are eligible to apply for AOS? Is the basis for your proposed AOS family-based or employment-based? More information would be helpful to be able to provide an answer.