There is evidence suggesting that alternating between periods of treatment and no treatment with androgen suppressants may delay the time to develop androgen-insensitive progression and improve overall quality of life. During intermittent androgen suppression (IAS) treatments, men receive an LHRH agonist and antiandrogen for a fixed period of time (approximately 9 months) and then enter an off-treatment period, whose length will vary, depending on the rate of rise in the patient's PSA. Once the PSA reaches an established threshold (1 ng/mL in men who have had a prostatectomy or 4 ng/ml in men with an intact prostate), androgen suppression will be re-initiated for another 9 months. These cycles of on-treatment/off-treatment will be repeated until patient no longer responds to the androgen suppression and it is clear that their cancer is progressing. It has been observed that off-treatment periods tend to become shorter with each successive cycle of androgen suppression, presumably due to the emergence of androgen-independent clones. This study proposes to look at exisulind, a pro-apoptotic drug, which may extend the off-treatment period in patients receiving IAS.