This is a Home Depot plant that is supposed to be chile de arbol
I thought they grew down? I also got a Home Depot tabasco but don't think I mixed them up since I'm anal and literally transplanted one plant at a time.
It looks like based on dragonsfire's picture that they start out growing upward and either as they mature or as they get heavier they start shifting downward. I'd say give it some time. Even if it doesn't turn out to be that, you've still got a healthy looking plant.