You know, after some testing with a bunch of different scheme implementations, I take back what I said, at least for working in a REPL.

    (define (displayln msg) (display msg) (newline))
    (define (inner x) (+ x 1))
    (define (outer x) (inner x))
    (displayln (outer 5))
    (define (inner x) (+ x 2))
    (displayln (outer 5))

outputs 6 and 7 in every one I tried, not the 6 and 6 I expected.