As others have explained, Time::Tiny is for dealing with times and doesn't contain methods for dealing with dates. The Pod seems to be in error. You might like to annotate the Pod or raise a bug to alert the author of this problem.

A lot of the date/time stuff that most people want to do can be done in Perl using a combination of time, localtime, Time::Local and strftime (from POSIX.pm). And if those few functions and modules don't do what you want, I'd look at the DateTime set of modules rather than any of the many other random date and time modules that you find on CPAN.