#Clojure, 91 bytes

((fn [x] (list x (list (quote quote) x))) (quote (fn [x] (list x (list (quote quote) x)))))

Clojure, 91 bytes

((fn [x] (list x (list (quote quote) x))) (quote (fn [x] (list x (list (quote quote) x)))))

Clojure - 1 char (cheating!) or 91 chars

The following works in Clojure:

1

However that's against the spirit of a quine! So how about:

((fn [x] (list x (list (quote quote) x))) (quote (fn [x] (list x (list (quote quote) x)))))

#Clojure, 91 bytes

((fn [x] (list x (list (quote quote) x))) (quote (fn [x] (list x (list (quote quote) x)))))