There are a couple very old versions of finger that I believe have possible exploits with them. But the biggest problem with finger is the ability of hackers to do some recon of your network via finger.
For the most part finger is some what out dated and really not needed in today's networks. If it is something you would like to keep since people in your company rely on it for information about other, maybe think about just setting it up internally.
Hope this helps a bit,
Paul