This card's effect, that sends itself to the Graveyard to negate a card effect that targets your linked monster, is a Quick Effect that activates in the hand or field. (It does not target. You can even activate this effect during the Damage Step.)[1]
The cost to activate this card's effect that negates a card effect that targets your linked monster is sending "World Chalice Guardragon" itself from your hand or face-up field to the Graveyard.[1]
This card's effect, that negates a card effect that targets your linked monster, is immediately chained to the activation of a Spell/Trap Card or effect, or monster effect, that targets your linked monster.[1]
This card's effect, that banishes itself to Special Summon a Normal Monster from your Graveyard in Defense Position, is an Ignition Effect that activates in the Graveyard. (The cost to activate this effect is banishing "World Chalice Guardragon" itself from your Graveyard. It targets 1 Normal Monster in your Graveyard.)[1]
A: In this scenario, since the "Chosen by the World Chalice" on your field is pointed to your opponent's "Imduk the World Chalice Dragon", "Mind Control" is targeting a monster on your field that is linked. Therefore, you can chain the effect of "World Chalice Guardragon" to negate the activation of "Mind Control", and destroy it.[2]
A: In this scenario, since the effect of "Compulsory Evacuation Device" was applied, there is no longer a Link Monster on your field, which means there are no Zones that a Link Monster on your field points to. In this case, the effect of "World Chalice Guardragon" is not applied. (The targeted "Beckoned by the World Chalice" remains in the Graveyard.)[3]