Agreeing with Sturgis.
You should definitely get tested. Using a condom certainly lowers your risk, but if I had sex with someone I knew had chlamydia I would book an appointment to get tested that day. You pee in a cup, and if they find the bacteria you take antibiotics. No big deal.
The good news is that chlamydia is fully treatable with antibiotics. Get tested and get treated (if necessary).