Eat a peach

Does anyone know the origin of the phrase "eat a peach"? also, any additional meanings besides the Prifrock reference and the fact that it can be used as a closing salutation?

I'm certain that anybody who uses it as a catchphrase is - consciously or unconsciously - referencing T S Eliot's poem, in which it refers to embracing physical sensations. I've never heard anyone use it as a closing salutation but I suppose it could be used to mean something like "Be adventurous; take risks" or "Seize the moment; enjoy life while you have it".