Not really related to Zimbra, but DNS has historically been difficult to secure. Being just a few months behind on "source" BIND patches can get you hacked. Also, in the next year or so, there will likely be huge DNS changes towards DNSSEC.
DNSSEC Home Page May 2009
If your DNS is available from the outside world, be certain you take the required steps and perform constant maintenance. Even internally, I'd run BIND chroot'd, that is, if I had to actually run BIND. BIND9 has much better security than prior versions, which is nice.