Clojure has an immutable, persistent queue datatype, PersistentQueue, but it doesn't (yet?) have literal reader syntax or Clojure wrapper functions, so you have to create one via a Java call. Queues conj (push) onto the rear and pop from the front with good performance.
user> (-> (clojure.lang.PersistentQueue/EMPTY)
(conj 1 2 3)
pop)
(2 3)
Lists conj onto the front and pop from the front. Vectors conj onto the rear and pop from the rear. So queues are sometimes exactly what you need.
user> (-> ()
(conj 1 2 3)
pop)
(2 1)
user> (-> []
(conj 1 2 3)
pop)
[1 2]
