Full control
Full Control should stop play on every opportunity to play an instant card that players have.
as such one should be able to cast an instant after a creature has entered the battle field. before the opponent plays another spell or land card.
Not having these stops makes it very annoying to play control decks that rely on fine stops like this.
as an example. opponent plays a creature that has a land fall trigger. I let the unit hit the field. Opponent gets to play land triggering the landfall effect before I can play my instant speed kill spell that would prevent this from happening.
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GoodyPhil#71064 commented
In your example, you should not gain priority before the opponent is able to play a land.
When something goes on the stack (like casting a creature spell) the active player gains priority first, and if they pass priority without doing anything else, the non-active player gains priority. If the NAP also passes priority, the creature spell resolves and the AP regains priority.
If at this point the stack is empty (the creature entering didn't trigger anything else) the AP can play a land without using the stack (assuming it's their turn), which triggers landfall. The only way you can immediately kill a recently played creature in this situation is if there is something else on the stack after the creature enters the field, or if the creature entered the field outside of one of that player's main phases.
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[Deleted User] commented
Full control or not, the active player always gains priority when a spell or ability finshes resolving