I grew up calling em blackfish. Younger folks seem to call them bowfins. I've heard the "mudfish" mentioned above. I gigged one later in the day, but it was about as big as this one... pulled loose and bent my gig.
Lip one and you will lose a few fingers. We used to hold blackfish tournnament to try to get them out of small lakes. Standard equipment was a claw hammer. For knocking them out. They will come toward the boat with ease until they see it, then hang on.