Rotate bones using a texture? I have an armature, and I want to do a "flailing limbs" effect. I figure a good way to do this would be to have a noise texture and rotate the bones in accordance with the texture.

Is this something that can be done? Is there a better way?
I don't know if it's possible, haven't found any mechanism to link texture value to bone transformation. But we can make random flailing movement by adding Noise modifier to the bone's rotation f-curve. From the manual entry on F-Curve Modifiers, this modifier

Modifies the curve with a noise formula. This is useful for creating
subtle or extreme randomness to animated movements, like camera shake.

If applied to the bone's rotation in at least one axis, it could create the effect you wanted: