I always dream and I nearly always recall them. If I cannot recall them immediately, the dream comes to me later on in the morning. I usually have a "main dream," then I wake an hour or two before I need to get up, fall back asleep, and have a briefer second dream, completely unrelated to the first one. Having two distinct dreams happens nearly every night. I've tried to fall back asleep to continue the original dream as Ken has done, but I'm not certain that has ever been successful in picking up where I left off. There was a time in my life I would write down what my dreams had been and try to make sense of them. Other than the entertainment factor, that was a waste of time. Regarding the original question: I'm not certain any of us has the capacity to stop dreaming (or to start if we don't think we do in the first place.) I used to drink a lot, and I can tell you that alcohol neither repressed nor enhanced my frequency of dreaming. I wonder by what mechanism a drug might affect it...I bet the manufacturer wonders the same thing.