Jumping spiders have excellent binocular vision, and can accurately pounce on their prey from up to a couple of inches away. They push off with their four back legs, and grab with their four front legs on impact, immediately biting and injecting venom. They then hang on until the prey stops thrashing. I've never seen them use silk to truss it up. Then, they settle down to dissolve its insides and suck up the resulting slurry, the same as other spiders do.
I shot this image using Nikon D5600 & 18-55mm reverse mounted.