Everyone in my clan says they can use weapon trials fine, but when I click the button, nothing at all happens. I've tried this on multiple weapons and still get the same result.
I had this too but it eventually worked after repeated attempts. Also make sure you filter the weapons by the class you're playing at the moment. I think it isn't possible to unlock a trial for, say, a LA weapon when you are a HA at that moment. I could be wrong here, but it would make sense somehow.