The Chicken Catcher is a tool added by Roost. Using it on an adult Chicken transforms it into an item form.
This item Chicken can then either be used on the ground to resummon it, smelted into Cooked Chicken or placed inside a Roost or Chicken Breeder. Those Chickens stack up to 16 times.
Note: If used on a Rooster from the Hatchery mod, it will drop a normal Chicken instead of a Rooster