ClojureScript date-time library
Too late, but for those who come by search, there is cljs-time library.
http://momentjs.com is easy to use for date arithmetic.
For example, the difference between two dates, in number of days:
(defn mom []
(let [log (fn [& args] (.log js/console (apply str args)))
days-ago (fn [n] (.subtract (js/moment) "days" n))]
(log {:difference (.diff (days-ago 7) (days-ago 28) "days")})))
(mom) ==> {:difference 21}