We have our hand on the neck of the golden goose and we're squeezing hard.

Don't kill the golden goose.

Medicine is a golden goose that has to be killed because every time the goose lays a golden egg, someone gets sick or dead.

Don't kill the goose with the golden egg

Kill not the goose that lays the golden eggs

The goose that lays the golden eggs likes to lay where there are eggs already.