This is happening to me on two machines, one with CentOS 6

I have a couple of CentOS6 boxes and am unable to reproduce your findings.

$ cat foo.pod
#!/usr/bin/perl -w
use strict;

=pod

My documentation.

=cut

$ perldoc -T foo.pod   
FOO(1)                User Contributed Perl Documentation             
+  FOO(1)



My documentation.



perl v5.10.1                      2019-03-14                          
+  FOO(1)
$
[download]

This suggests that either this isn't the POD you are really using or that your perl (or O/S) installation has become badly broken in some way. The fact that you're seeing it on 2 completely different operating systems does rather lean towards the former. Is this the entirety of the POD you are using?

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