From Facebook Developer Wiki

[edit] Using CPAN with Non-Root Access

First, run CPAN to set it up initially...

  perl -MCPAN -eshell

And then in your CPAN MyConfig.pm file (~/.cpan/CPAN/MyConfig.pm) add this line after 'make_install_arg'.

 'makepl_arg' => q[PREFIX=~/ SITELIBEXP=~/lib/perl5 LIB=~/lib/perl5 INSTALLMAN1DIR=~/share/man/man1 INSTALLMAN3DIR=~/share/man/man3 INSTALLSITEMAN1DIR=~/share/man/man1 INSTALLSITEMAN3DIR=~/share/man/man3],

Then in the console do:

  export PERL5LIB="$HOME/lib/perl5"

or for if that doesn't work try (csh):

  setenv PERL5LIB "$HOME/lib/perl5"

You might want to add this line to your ~/.profile or other startup file so that this is set for other sessions.

Then to actually install the module:

  perl -MCPAN -eshell
  install WWW::Facebook::API

In your scripts you may need to add the following line (above any use WWW::Facebook::API line)

  use lib qw(/home/user/lib/perl5);

And all should be good!

Source: http://sial.org/howto/perl/life-with-cpan/non-root/