Do you mean the following?
Yes electrons are always moving.
Remember as they are small and fast they exhibit both particle and wave properties.
(I am not an expert on this ...) by wave mechanics the electron can be represented by a standing(?) wave around the nucleus. There can be different standing wave around a hydrogen nucleus corresponding to different energy levels. I believe the introduction of more protons in the nucleus and more atoms makes the exact calculation of these waves impossible.
Also, looking at the "shape" of s, p, d, f orbitals around an atom define regions of probaility where an electron in a certain energy state will "be" around a nucleus. But, Heisenberg's uncertainty principle means you CANNOT say exactly where an electron will be and know its momentum exactly. The standing wave is an extreme version of this where you can't point to any single position for the electron.
So I guess the molecular orbitals (if that is a good model) that are formed when atoms bond the electrons still exhibit this dual nature, they move and the proability of finding them in a particular location can only be expressed by a probability function smehow calculated from the molecular orbital. How that calculation is done, I do not know.
Anyone else have a better / more accurate description because it is a topic I need to understand better.
Clive