A degenerate orbital comes about when there are two or more electrons that have the same spin and in the same energy level. The result is that they combine so they can occupy an electron orbital, taking turns occupying different orbitals.
The term ‘degenerate orbitals’ refers to the fact that 2 electrons of opposite spin share a single space. They do this by rotating each other around so as to line up at 180 degrees from one another — if they were spinning on their axes like tops–with one going clockwise and one going counter-clockwise. The result is an electron wave which has only tiny differences in phase, meaning it’s really remarkable how much energy differential there is for these 2 particles. It’s like 3 people rotating around each other in such a way as to share one chair.
So degenerate orbitals are not organic, as such, but they do make for transient bonds, like those found in diatomic gasses. This is because it takes very little energy to separate the 2 electrons. As a result they are found in atoms, sharing an orbital between them, which is why there are gasses that have no smell. In fact, the electron pair which forms a chemical bond is usually one of these degenerate pairs.