Pip, 22 18 bytes
^1>=Y^aNaYMNy=My>1
Explanation
Each character occurs twice.
^1>=Y^aNaYMNy=My>1
a First command-line argument (a string)
^ Split into a list of characters
Na Count occurrences of each character in a
Y Yank the result into y
^1>= No-op: compare with [1]
MNy Minimum of y
= is equal to
My Maximum of y
>1 which is also greater than one
Y No-op: yank that result
Autoprint the result of the last expression
Alternate 18-byterbyters:
Y^!1Y^aNaMNy=My!=1
Y_<=1Y_NaMa1<Ny=My