Kelker Ryan's solution isn't quite what you asked for (you asked for a
function that takes a vector and returns an iterator, whereas his version
stores the vector in a global var), but it can easily be adapted to what
you wanted:

(defn make-blah [v]
  (let [a (atom v)]
    (fn [] (let [x (first @a)] (swap! a rest) x))))

That's the general approach to creating a function that needs its own
internal state.  However, in this case, since what you want is an iterator,
why not just use Java interop?

(defn make-blah [^Iterable v]
  (let [i (.iterator v)]
    (fn [] (when (.hasNext i) (.next i)))))

=> (def blah (make-blah [1 2 3]))
#'mark.scratch/blah
=> (blah)
1
=> (blah)
2
=> (blah)
3
=> (blah)
nil

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