This card can shut down an LV Monster Deck if used correctly, as they constantly use effects that Special Summon other monsters, and one in particular (this can help shut down cards such as "Horus the Black Flame Dragon LV8" from being brought out and negating all of your Spell Cards, for example).
Activate this card after your opponent activates the effect of "Stardust Dragon". They will have two options: Summon "Stardust Dragon" so you can remove it from play, or not summoning it until this card is removed from the field.
When your opponent plays "Premature Burial", you may chain this card to remove the monster summoned and this card from play. This will also work with any card effects which special summon that you may chain to.