Corion was basically right. I tidied up your code, removed the redundant output to a file (for simplicity) so that output just goes to STDOUT, and fixed the print statements:

use warnings;
use strict;
use XML::Twig;

my $file = 'PYR.xml';
my $twig = new XML::Twig(
    KeepSpaces   => 'true',
    TwigHandlers => { "JOB " => \&Output}
);
$twig->parsefile($file);

sub Output {
    my ($twig, $s) = @_;
    print 'Jobname  = ', $s->att('JOBNAME') , "\n";
    print 'Weekdays = ', $s->att('WEEKDAYS'), "\n";
}
[download]

prints to STDOUT:

Jobname  = BPYRD000-PYRPACK-START-HOUSEKEEP
Weekdays = 1,2,3,4,5
[download]