If the 'something' has an atmosphere, no matter how tenuous, it will result in the other something deorbiting, eventually. Just like low-orbit satellites.
If the two aren't totally isolated, interactions with third objects could disrupt the orbit, and may result in a 'deorbit'. Something like this happens to some binary stars in globular clusters.
Left alone for long enough, the system will lose energy due to gravitational radiation, and de-orbiting will result. This is happening with a well-observed pair of neutron stars.
If each object is rotating and not perfectly rigid, angular momentum will be exchanged (think of the tides), and deorbiting may happen, depending on the relative sizes, masses, etc. One day the Moon will deorbit due to this mechanism.
Then there is the Poynting-Robertson Effect and the Yarkovsky Effect. Depending on what EM radiation the two somethings are bathed in, and the smaller something's size (and density, albedo, etc), their rotation rates, etc, etc, deorbiting is possible.
I'm sure there are more ways still; e.g. what about outgassing, e.g. a comet in orbit around Mercury?