Bamboo shoots fit into the first category of a Paleo diet: plants. They have been eaten for centuries, primarily in Asian cuisine, and can be a safe, natural addition to any dish.
Paleo and Carbohydrates
This particular plant, though, is very high in carbohydrates, so we discourage making them a staple of your diet. However, they are also very high in nutrients like potassium and phosphorous, so if you find yourself in an Asian restaurant getting served a dish with this particular plant, there’s no need to worry. Enjoy the experience. Mark Sisson even has a post about why eating out at Asian restaurants may be a healthier option than what a lot of Americans eat.