It was a gunslinger game where a poorly animated gunslinger would appear somewhere at random on the screen and he would drawl “Draw!” and you had a couple of seconds to get the mouse pointer (which would be cross-hairs) on him and let him have it, before he got you.
I had it years ago on a Win 3.1 machine and I wouldn’t mind getting it again… However, if it is gone for good, I would be willing to write a new one if I could get a Texan Doper to send me a soundbite of them saying draw!, gotcha’!, “Ow”, and any other pertinant sound bites.