In an aqueous solution, once all of the ions have attached themselves to the oppositely charged ends of the molecules of water, what is the the compound considered to be?
It is a solution.
As a solution, it will be uniform in composition, but its components are not chemically bonded. Hydrogen bonds are not chemical bonds. A compound is a pure substance composed of two or more elements with a definite composition, in which the elements making it up are chemically combined either by ionic bonds or covalent bonds.