There are a few problems. First of all, your $file will contain the file name only, so you need to append the $dir to it. Just try it:

 
#!/usr/bin/perl
use v5.14;
use File::stat;

my $dir = '/tmp/';
opendir(DIR, $dir) or die $!;

while (my $file = readdir(DIR)) {
    next if ($file =~ m/^\./);
    say "Good idea" if (stat($dir.$file));
    die "Bad idea" if (not defined stat($file));
}
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Next one: if you want to use File::stat, you should use (stat $dir.$file)->9; instead of the way you use it now.

And the last thing: you will need to add 1900 to the year, unless you want to see 114 instead of 2014. A working example:

 
#!/usr/bin/perl
use v5.14;
use File::stat;

my $dir = '/tmp/';
opendir(DIR, $dir) or die $!;

while (my $file = readdir(DIR)) {
    next if ($file =~ m/^\./);
    my $mtime = (stat $dir.$file)->[9];
    my($sec,$min,$hour,$mday,$mon,$year) = localtime($mtime);
    $year += 1900;
    say "File: $file, Mtime: $mday/$mon/$year";
}
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regards,
Luke Jefferson