Here's a quick and dirty solution 
use String::LCSS_XS qw( lcss );

sub lcssw {
   my ($s1, $s2) = @_;

   my $i;
   my %codes;
   my %words;

   for ($s1, $s2) {
      $_ = join '',
           map { $codes{$_} = chr(++$i) if !exists($codes{$_});
                 $codes{$_}
               }
           lc($_) =~ /\w+/g;
   }

   my $lcss = lcss($s1, $s2);

   @words{values %codes} = keys %codes;
   return join ' ', @words{ $lcss =~ /./sg };
}

[download]

Untested. Shouldn't be used if the two input strings combined contain more than 254 different words. (The technique can be extended through clever encoding of the number, but you'd be better spending your efforts modifying the module to handle words.)

Update: Fixed typo ($lcss_ ⇒ $lcss)

In reply to Re: Finding a LCS module on word level by ikegami
in thread Finding a LCS module on word level by st_ale

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