Earlier quoted context omitted.
A bit more cosmic scale that we can see over time are light echos: https://en.wikipedia.org/wiki/Light_echo In particular, the at https://en.wikipedia.org/wiki/V838_Monocerotis there's a video of the echo. For another dynamic area with things changing on a human lifespan, the black hole at the center of the galaxy we can watch stars orbit it. https://youtu.be/XA7CAVm31z0
The classic example of this is the Hubble Variable Nebula. See https://en.wikipedia.org/wiki/NGC_2261 and https://www.youtube.com/watch?v=LeiVERr2J2Q
And the mechanism for it - https://www.jpl.nasa.gov/news/star-duo-forms-fingerprint-in-...