Gearman and POE are different things. Gearman is a distributed job queue, POE is a framework for event-based programming. Sure, they can get some of the same sorts of things done, but what specifically do you want to do?

Gearman::Server vs POE implementation in perl

There's a POE::Component::Gearman::Client library. Are you referring to that?

In Gearman vs X discussions, I usually hear Gearman vs. some message queue, not Gearman vs POE.

Anyway, if you are going to use Gearman, I'd look at Gearman::XS. Unless you want to use Gearman within POE, then I'd probably look at that library I just mentioned.