Yes. The chain goes to bolts that go through eye bolts driven into tight holes in the stump. When the chains are snugged down,it makes the anvil only go "clack" so it doesn't make you deaf.
This does not work with all anvils. It depends upon how they were made. This method is illustrated in Diderot's 18th. C. encyclopedia. Their anvils certainly would have been wrought iron with a steel top forge welded on. My anvil is solis tool steel.
Some anvils require to have inner tubes wrapped around their waists. Might also depend upon the shape of the anvil