Without each type specifying where it would like the function applied
the result will be sort of hacky, but here's my hackey attempt at fmap
in clojure.
It makes some assumptions (e.g. you would only want to apply f to the
values rather than the keys of a hash).  Also I'm not sure what the best
way is to check is a symbol is a function in Clojure.

user> (defn fmap [f arg]
            (cond
              (or (fn? arg) (= (class arg) clojure.lang.MultiFn)) (comp f arg)
              (list? arg) (map (partial fmap f) arg)
              (vector? arg) (vector (map (partial fmap f) arg))
              (map? arg) (apply hash-map (mapcat (fn [[k v]] [k (fmap f v)]) 
arg))
              true (f arg)))
#'user/fmap
user> ((fmap (partial + 1) sqrt) 9)
4
user> (fmap (partial + 1) (list 1 {:a 2 :b 3} 4))
(2 {:a 3, :b 4} 5)
user> 

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