Most clays are layered aluminosilicates, surface functionalized (site swapped) with other common cations (iron, magnesium). They can also have a lot of adsorbed organics (surfactants and otherwise). Without more information on the clay, it's hard to say specifically what could be dissolving off of them, but my off-the-cuff guess would be some combination of organic surfactant/stabilizers, iron or magnesium salts, or dissolved alumina/silica.