<?xml version='1.0' encoding='ISO-8859-1' ?>
<!DOCTYPE DEFTABLE SYSTEM "C:\Program Files\BMC Software\CONTROL-M EM 
+6.2.01\Data\resource\deftable.dtd">
 <DEFTABLE >
  <SCHED_GROUP
   GROUP="BEPYRG-NA-HKEEP"
   OWNER="pyruat11"
   AUTHOR="u038451"
   CONFIRM="0"
   JOBNAME="BPYRG000-NA-HKEEP"
   MAXWAIT="0"
   MEMNAME="BPYRD007-PYRPACK"
   DATACENTER="D015-E1200-IB"
   TABLE_NAME="BEPYRG-NA-HKEEP"
   ADJUST_COND="0"
   APPLICATION="BEPYR_NA_PYRPACK"
   MULTY_AGENT="N"
   USED_BY_CODE="0"
   CHANGE_USERID="u147393"
   CREATION_DATE="20080731"
>
   <OUTCOND NAME="PL-BPYRG000-NA-HKEEP-OK" SIGN="ADD" ODATE="ODAT"/>
   <AUTOEDIT EXP="%%PYR_INST=eqny" />
   <AUTOEDIT EXP="%%ORDER_TABLENAME=BEPYR" />
   <AUTOEDIT EXP="%%APPENV=devctm01" />
   <TAG
    APR="1"
    AUG="1"
    DEC="1"
    FEB="1"
    JAN="1"
    JUL="1"
    JUN="1"
    MAR="1"
    MAY="1"
    NOV="1"
    OCT="1"
    SEP="1"
    RETRO="0"
    SHIFT="IGNOREJOB"
    MAXWAIT="05"
    SHIFTNUM="+00"
    TAG_NAME="CMTWTF__-TAG"
    WEEKDAYS="1,2,3,4,5"
    DAYS_AND_OR="OR"
/>
   <TAG
    APR="1"
    AUG="1"
    DEC="1"
    FEB="1"
    JAN="1"
    JUL="1"
    JUN="1"
    MAR="1"
    MAY="1"
    NOV="1"
    OCT="1"
    SEP="1"
    DAYS="ALL"
    RETRO="0"
    SHIFT="IGNOREJOB"
    MAXWAIT="05"
    SHIFTNUM="+00"
    TAG_NAME="CMTWT___S-TAG"
    WEEKDAYS="1,2,3,4,0"
    DAYS_AND_OR="AND"
/>
   <JOB
    APR="1"
    AUG="1"
    DEC="1"
    FEB="1"
    JAN="1"
    JUL="1"
    JUN="1"
    MAR="1"
    MAY="1"
    NOV="1"
    OCT="1"
    SEP="1"
    DAYS="ALL"
    OWNER="pyruat11"
    RETRO="0"
    SHIFT="IGNOREJOB"
    SYSDB="0"
    AUTHOR="u038451"
    CYCLIC="0"
    NODEID="BEPYR_NA_HKEEP"
    CMDLINE="Dummy Job"
    CONFIRM="0"
    JOBNAME="BPYRD000-PYRPACK-START-HOUSEKEEP"
    MAXDAYS="0"
    MAXRUNS="0"
    MAXWAIT="5"
    MEMNAME="BPYRD000-PYRPACK-HOUSEKEEP"
    AUTOARCH="0"
    CRITICAL="0"
    INTERVAL="00000M"
    MAXRERUN="0"
    PRIORITY="5"
    SHIFTNUM="+00"
    TASKTYPE="Dummy"
    TIMEFROM="0800"
    WEEKDAYS="1,2,3,4,5"
    IND_CYCLIC="START"
    APPLICATION="BEPYR_NA_PYRPACK"
    DAYS_AND_OR="OR"
    CHANGE_USERID="u147393"
    CREATION_DATE="20080731"
    CREATION_TIME="092311"
    CREATION_USER="u147393"
    TAG_RELATIONSHIP="OR"
    USE_INSTREAM_JCL="0"
>
    <OUTCOND NAME="PL-BPYRD000-PYRPACK-START-HOUSEKEEP-OK" SIGN="ADD" 
+ODATE="ODAT" />
    <TAG_NAMES TAG_NAME="CMTWT___S-TAG"/>
   </JOB>
  </SCHED_GROUP>
 </DEFTABLE>
[download]

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]