Some of the typical issues are: 1. ensuring time synchronisation 2. dealing with the woeful error messages from Kerberos and AD. 3. configuring Firefox to do Kerberos auth. 4. tweaking Windows AD and Gpol/Registry to allow or disallow certain algo strengths. 5. ensuring names (host and principal and server) agree precisely (including case) between the ticket and the AD attributes and various config files. 6. dealing with bugs and other incompatibilities in Windows (e.g. ktpass) and Linux/Unix implementations. (thankfully mostly historical now). 7. firewalls (host and network)
I really should write up these in more details but in the meantime probably the best docs can be found on the official Kerberos site and within MS technet.