obviously without the ability to examine your finger to determine the significance of this "chunk" that you have i can only offer you some general information. most of these avulsion injuries will heal over time. they will scab over and gradually. new skin will form over this area. larger "chunks" may require stitches to close. since i cannot see your injury you will need to make a judgment about seeking hands-on medical care. keep the wound clean to prevent infection. use a topical antibiotic ointment and keep in covered with a bandage until a scab forms.
i cut a chuck out of my finger with a peeler. i did get it to quit bleeding but how do i care for it now?