Well-known sayings about geese include:
To “have a gander” is to examine something in detail.
“What’s sauce for the goose is sauce for the gander” means that what is an appropriate treatment for one person is equally appropriate for someone else.
Saying that someone’s “goose is cooked” means that they have suffered, or are about to suffer, a terrible setback or misfortune.
“Killing the goose that lays the golden eggs,” derived from an old fable, is a saying referring to any greed-motivated, unprofitable action that destroys or otherwise renders a favorable situation useless.
“A wild goose chase” is a useless, futile waste of time and effort.