Other forms: chestnuts
A chestnut is a kind of tree; it's also the name of the nuts it grows and the dark brown color of their shells. So you could theoretically climb a chestnut and pick a chestnut-colored chestnut!
American chestnuts, which were once abundant in the northeastern U.S., are essentially extinct today. You can still find edible chestnuts, which are delicious when roasted, that come from Asian-European hybrid trees. The color of this nut is perfect for describing brown things like your friend's glossy chestnut hair or your mom's chestnut boots. Colloquially, a chestnut is also an overly familiar joke, like that tired old chestnut your dad always tells that makes everyone groan.