I've been taking saw palmetto for years, and my hair isn't falling out. (no other side effects either)
This is more likely a deficiency of tin and/or copper, or one of the other 58 essential minerals that are no longer in the food we eat.
Zinc, selenium, and silica deficiency can all play a role in hair loss.
Are there any other symptoms that you would care to discuss? since symptoms can be early warning signs of health issues yet to come, and can seem unrelated, such as digestive issues, itchy scalp, hemrroids, headaches, sore joints, or possibly skin problems such as acne..
Taking a prescription drug, or cutting back on sweets, or exercising is great, however, it won't fix a deficiency.