I experimented with the generic rotation formulas from the tutorial.
I get to rotate an image along an elliptic curve, but it is not exact enough with a seconds hand for example. My research showed that the formulas are correct, but to get more precise we would need elliptical arc-length parameterization (Kepler’s equation), which is not simple.
Anyway, so back to stretching length and width and inspired by @Orakix pulse faces:
(seconds and minute hands vary in length and width)