Several years ago I "learned" somehow that in Perl we should theoretically check all print statements, because there could be funny system problems like a full disk or other things that we otherwise wouldn't know about.
But behold, I was told, autodie will take care of all of that print checking for you. THIS IS NOT TRUE. Just now I read in autodie's documentation on CPAN that it specifically does not check print.
So, how important is checking print statements? I assume it would depend on the application and/or system. Once in a blue moon, one of the cluster environments that I use has funny file writing issues (which err on the side of not writing), so it is something I worry about.