Pros: healthier--less or no pesticide residue, no artificial hormones that are suspected of causing human illness; better for the environment (no chemical pesticides and artificial chemicals suspected of polluting the environment).
Cons: 1) more expensive 2) criticisms for meat eating in general apply to eating organic meat--cruelty, strain on natural resources, pollution.
Another con is that organic animals are not vaccinated against disease. This could cause unnecessary suffering to the animals, and the diseases could be passed on to us.