Can I have oral sex without a condom with someone who has chlamydia? There are no cuts or anything inside my mouth.

ABsolutely NO . No no no unless u want to get chlamydia in your mouth and throat, please go on the internet and read about stds u should not have any kind of sex with anyone with an std until the std had been treated and recultured to make sure it is gone, if he is trying to talk u into this just say no !
UNPROTECTED SEX. This is not advised as there may be other std's that came with the chlam. That remain undiagnosed.