Even if electrons did emit light, we wouldn't be able to understand or analyse what we saw. As Heisenberg wrote, many years ago, our bodies and brains and hence our experimental machines work only in "classical" mode and not in "quantum" mode. So trying to make sense of an essentially quantum phenomenon is not possible. We can write the equations, but I wouldn't try visualising, because it is usually wrong. If a probability cloud actually meant something to our brains, we would see them. But as Kane points out, we only see photons. So it would have to be an excited atom which returns to a lower energy eigenstate, and thus emits a photon in a random direction.
Masud.