Typically, domain name dispute resolution policies do not apply to third-level domain names. However, .co.com is offering third-level dispute resolution options, as is CentralNic.
Other ccTLDs and gTLDs do sell third-level domains in specifically delegated second-level domains (like .gov.TLD, .edu.TLD, or .co.TLD) to end users subject to the same terms as their second-level registrations. For these, the same Policy that applies to traditional second-level registrations would apply to these special third-level registrations. If there is uncertainty as to whether a Complaint may be filed against a third-level domain name, please consult the Registration Agreement of the TLD in question.