What problems might arise within a domain when the member servers are not properly time-sync'd? I'm aware that log entries are incorrect making troubleshooting more difficult in time-sensitive operations. But would there be other symptoms, perhaps between file servers, authentication and certificate servers, would manifest themselves?
Kerberos tickets granted for authentication are very time sensitive and the mechanism breaks down absent accurate time sync between clients, servers and ticket grantors.
Many authentication protocols check for time skew. Kerberos (AD Auth) being a notable one.