I completely get why that feels frustrating. "Rolling” can be quite opaque from the outside, especially when you apply early and then hear nothing for weeks.
One thing to bear in mind is that for some rolling firms, applications can be reviewed in batches rather than strictly in order. That means your application may already have been looked at, but tests or next steps are sent out later once they’ve reached a certain point internally. Silence doesn’t mean you’re out, and it doesn’t mean you don’t still have a good chance.
Applying early does genuinely offer an advantage, even if it doesn’t always feel like it. In practice, it can mean your application is actually considered, rather than competing with a large volume submitted close to the deadline. For some firms, those later applications simply don’t get reviewed at all once capacity is reached, which is why firms still describe the process as rolling.
That doesn’t make the waiting any easier, but I wouldn’t read too much into radio silence at this stage. You’ve done the right thing by applying early, and it’s still very much a waiting game rather than a verdict.
Wishing you hear back with good news ASAP!