I tested a few set ups, but so far the simplest to use is based on the Ripple Shader. Noise is not loop-able without repetition or mirroring, I tried even to set up a projected UV to get something, but it all looks not really noise like anymore. (Otherwise there might be another way to create a clip of footage with it first, then apply it.)
To render a clip: https://www.amazon.com/clouddrive/share/hcoOi943kWcd0VYKH6LSa4rFeF77UNHNyRKh9zJlXBT
As mentioned in the file, results are ONLY visible in the Picture Viewer. If you use the Displacer Deformer, that needs the Picture Viewer as well to see any influence of it.