He used a lot of medium-length (1-3s) cuts, basically treated the camera as its own character (using shake and zoom to emphasize impacts), preferred close/medium angles to wide shots, and of course had a very hand-animated feel. All that made his work feel intimate and weighty.

Luckily, none of that is actually particularly hard to replicate, outside of experience of course. Lots of NSFW animators have a very similar style, Chalk was just one of the only one in the guro scene.

Your goal is definitely achievable, and you seem to be on the right track.