OUCH - I hate looking at hook in body pictures. One of the reasons I never wanted to be a human doctor. I can butcher up game and not flinch ( it's dead and it is food). I can't remember where, but I saw one with hook in a guys EYE - freshwater so it wasn't as bad.
Manley Super Pliers (6.5" side cutters) - keep them heavily oiled. I can cut 5/0 VMC-4X w/ my weak hand. (I got my pair off Ebay few yrs ago - teflon coated, but handle rusts - remove the spring from handle) Those Knipex 8 inch LEVER ACTION MINI-BOLT CUTTER are great as well, but are longer and not made for saltwater environment (mail order only - no one local carries them).
Last time some fish got hooks into I was lucky it was just into my raincoat - no pliers with me and I had to cut myself free w/ pocket knife. Schoolie was fine and released. New coat with holes now - taught me to ALWAYS have pliers to bend down barbs. Heck - I should bend down ALL my barbs .... lol.
Remeber few yrs ago, a fisherman died from open due to a bluefish: flesh eating bacteria KILLS? That is scary stuff - don't ignore wounds when bluefish are involved! I can see why clammer hates bluefish now.