This card can be useful against "Fortune Ladies". Since every "Fortune Lady" activates an effect during the player's Standby Phase, your opponent will be locked down, while you still can use effects during your turn.
This card can stop "Monarchs" who rely on Special Summoning to gain Tribute Fodder. The first effect will go through, but once the second effect is activated, it and every subsequent effect is negated for the turn.
Activating a card like D.D. Crow in chain to an opponent's card effect will bar the effect, and cause it to be negated before it can properly resolve, as the stone will have 2 counters before either effect resolves. Because D.D. Crow is a hand effect, and not a field one, You will still get the removal, but your opponent will likely get squat.