If around rope and water, think the type of knife that'd be best is a canyoneering knife.
CRKT used to make a popular one, the Bearclaw. Hooked and serated blade with finger hole.
https://wildskyguides.com/gear-review-crkt-bearclaw/Eldrid have something similar.
https://edelrid.com/gb-en/sport/climbing-accessories-shop/rescue-canyoning-knife?variant=194And mounting it on your chest.