Two books that I have in my library are
Elements of Programming with Perl and
Minimal Perl. Excellent books, both. In comparson, the Llama comes across more as a reference book than a learning book. At least the fourth edition did. I haven't seen the fifth edition.
Manning Press has
several other Perl books. I have firsthand experience only with the two that I mentioned. But, based on those two books, odds are good that the others are keepers also.
For someone starting Perl from scratch, I would recommend
Elements of Programming with Perl over
The Llama. YMMV.