According to the CDC you can get chlamydia from oral sex. "Chlamydia can be transmitted during vaginal, anal, or oral sex. Chlamydia can also be passed from an infected mother to her baby during vaginal childbirth." What I don't like is how they dont describe exactly how it is passed. I want to know can it live in your mouth, if so for how long, what are the chances you can get chlamydia via oral sex like are they slim as in 5% or high as in 75%. Incase you haven't looked yet
http://www.cdc.gov/std/chlamydia/STDFact-Chlamydia.htm