There's snort (http://www.snort.org/): an application that helps detect if your box has been hacked, etc.
F-Prot (http://www.f-prot.com/) an anti-virus version for Linux (especially good in an mixed network where a Linux server might be handling mail for Windows boxes, or just to be safe about forwarding email to an unwary friend).
chkrootkit, (http://www.chkrootkit.org) As previously mentioned, checks for presence of rootkits.
nmap, (www.insecure.org/nmap)a port scanner (plus some) that ships with most *nix distros, very good for scanning your own network for holes.
Nessus, (www.nessus.org/), another good security scanner.
These are some of the most common, but there are many different tools out there. Of course, security starts at home, meaning make sure you don't have unnecessary services running, your iptables are set up correctly, you've implemented proper permissions, you don't run as root all the time, etc. If you've done all that correctly, you shouldn't have too much to worry about.