Hey, back in the day, the little burn marks on the green could be used to line up your putt. On a windless day, even the ashes could help.
I remember my father instructing, once he had given up on stopping my smoking, that the unsmoked butt should be shredded, well off the green of course, the tobacco sprinkled widely and the paper wadded tightly and put in the pocket. He instructed by example, of course.
I have not smoked in 37 years, but still associate the smell of tobacco with that of cut grass.