The Log::Dispatch debian package is liblog-dispatch-perl.
# apt-get install liblog-dispatch-perl # lspm |grep Log|grep Dispatch /usr/share/perl5/Log/Dispatch.pm /usr/share/perl5/Log/Dispatch/Email.pm /usr/share/perl5/Log/Dispatch/Handle.pm /usr/share/perl5/Log/Dispatch/Syslog.pm /usr/share/perl5/Log/Dispatch/Output.pm /usr/share/perl5/Log/Dispatch/File.pm /usr/share/perl5/Log/Dispatch/ApacheLog.pm /usr/share/perl5/Log/Dispatch/Screen.pm /usr/share/perl5/Log/Dispatch/Base.pm /usr/share/perl5/Log/Dispatch/Null.pm /usr/share/perl5/Log/Dispatch/Email/MailSendmail.pm /usr/share/perl5/Log/Dispatch/Email/MailSender.pm /usr/share/perl5/Log/Dispatch/Email/MIMELite.pm /usr/share/perl5/Log/Dispatch/Email/MailSend.pm /usr/share/perl5/Log/Dispatch/File/Locked.pm
Install Log::Dispatch to debian system Perl