Was thinking about asking this same question, but on a slightly different level.
While I have never dug a nub out of the ashtray I have smoked a cigar the next day. It was a churchill size smoke that I got 1/3 through and had to put out because something came up. Clipped it off a little ways past the cherry and smoked it the next day while burning wood. I didn't think it was that bad, not the same, but not bad.