Important update: the problem is nothing to do with Apache or mod_perl. The easiest demonstration:
> perl -le 'use PerlIO::via::QuotedPrint; binmode(\*STDERR, ":via(PerlIO::via::QuotedPrint):utf8"); open (ERROR, ">&STDERR");'
zsh: segmentation fault  perl -le
In fact binmode is performed by my code and open (ERROR, ">&STDERR"); by Parse::RecDescent.
Original question:
I have a problem with Spreadsheet::WriteExcel under mod_perl 2.0.5 
Apache dies with segmentation fault, and I found out that it occurs on  require Parse::RecDescent statement within Spreadsheet::WriteExcel package. 
strace shows that last things that happens is dup'ing STDERR:
[pid 31253] dup(2)                      = 8
[pid 31253] ioctl(8, SNDCTL_TMR_TIMEBASE or TCGETS, 0x7fffcf66a328) = -1 ENOTTY (Inappropriate ioctl for device)
[pid 31253] lseek(8, 0, SEEK_CUR)       = 0
[pid 31253] --- SIGSEGV (Segmentation fault) @ 0 (0) ---
I read through the code of Parse::RecDescent and noticed statements like open (ERROR, ">&STDERR");
Well, after some additional experiments I have this minimalistic Plack app to reproduce the segfault:
use strict;
use warnings;
# DANGEROUS
use PerlIO::via::QuotedPrint;
binmode(\*STDERR, ":via(PerlIO::via::QuotedPrint):utf8");
my $app = sub {
    my $env = shift;
    open (ERROR, ">&STDERR");  # segmenatation fault
    return [
        '200',
        [ 'Content-Type' => 'text/plain' ],
        [ "hello world" ],
    ];
};
$app;
(In fact I use binmode layer other than PerlIO::via::QuotedPrint, but effect is the same)
If I don't perform binmode(\*STDERR, ":via(PerlIO..., apache doesn't segfault. 
If I don't duplicate STDERR, apache doesn't segfault. 
If I do the both, it segfaults.
As a workaround I can avoid using binmode on STDERR, but it's not good. 
Any suggestions on where and how should be fixed this?
Thanks.
My environment:
perl -v |grep version 
This is perl 5, version 14, subversion 2 (v5.14.2) built for x86_64-linux-gnu-thread-multi
uname -a
Linux thinkpad 3.2.0-32-generic #51-Ubuntu SMP Wed Sep 26 21:33:09 UTC 2012 x86_64 x86_64 x86_64 GNU/Linux
lsb_release -c
Codename:       precise
dpkg -l |grep mod-perl
ii  libapache2-mod-perl2  2.0.5-5ubuntu1   Integration of perl with the Apache2 web server
Upd: the same code works well under outdated Ubuntu 8.04 + perl 5.8.8 + mod_perl2 2.0.3
Upd2: FreeBSD 9.1 + perl 5.14 + mod_perl 2.0.8 -- segfault repeats
uname -a                              
FreeBSD liruoko.ru 9.1-RELEASE-p5 FreeBSD 9.1-RELEASE-p5 #7 r253740: Sun Jul 28 16:53:08 MSK 2013     roman@thor.cmc.msu.ru:/usr/obj/usr/src/sys/MINI  amd64
pkg info |grep apache                     
apache22-itk-mpm-2.2.25        Version 2.2.x of Apache web server with itk MPM.
pkg info |grep mod_perl               
ap22-mod_perl2-2.0.8,3         Embeds a Perl interpreter in the Apache2 server
perl -v |grep version
This is perl 5, version 14, subversion 4 (v5.14.4) built for amd64-freebsd
 
    