Er... not trying to spoil your joke... but... the issue is not with Perl, but with most 32bit Linux machines, simply because time_t is a 32bit number and it overflows after 2038. That's a real problem that is out there and looks worse then the Y2K issue.
But maybe you're just hoping there will be no 32bit binaries in use in 2038, in which case you don't have to worry.
But notice that this problem currently affects any 32bit binary that uses the system functions to handle date and time.