Have they tested you for other things, like bacterial vaginosis and yeast, to make sure that isn't causing some of your symptoms?
You should wait at least 3 weeks to have a test of cure done. This is because being on antibiotics can cause a false negative, and you need at least 3 weeks to make sure that your results are accurate.
Do you know how chlamydia entered your relationship? Is it something that was brought into your relationship from a prior partner either one of you had? Is it possible that your bf has another partner and is being reinfected? I don't know your bf, and don't want to cause problems in your relationship where there are none, but I'm just trying to help you figure out why this is happening.
Has he had a test of cure? If you're being cured, but he isn't, it makes no difference that you are, because you're going to be reinfected again.
If you have sex again with your bf, I'd strongly suggest using condoms until you figure this out. I hope you do. It has to be pretty miserable. :(