Ruling on the card
If your opponent Flip Summons a monster with a Flip Effect, and chains a card like "Ring of Destruction" to destroy "Fiend Skull Dragon", the Flip Effect will not be negated since "Fiend Skull Dragon" is no longer on the field when the Flip Effect resolves, and it will only negate Flip Effect "as long as this card remains face-up on the field".
Effect of Fiend Skull Dragon
This monster can only be Fusion Summoned by the above Fusion-Material Monsters. As long as this card remains face-up on the field, negate all Flip Effect Monsters' effects. In addition, negate the effects of a Trap Card that specifically designates this card as a target and destroy it.
as a side question... does FSD negate the entire effects of the flip effect monsters, such as slate warrior's second effect?
If your opponent Flip Summons a monster with a Flip Effect, and chains a card like "Ring of Destruction" to destroy "Fiend Skull Dragon", the Flip Effect will not be negated since "Fiend Skull Dragon" is no longer on the field when the Flip Effect resolves, and it will only negate Flip Effect "as long as this card remains face-up on the field".
Effect of Fiend Skull Dragon
This monster can only be Fusion Summoned by the above Fusion-Material Monsters. As long as this card remains face-up on the field, negate all Flip Effect Monsters' effects. In addition, negate the effects of a Trap Card that specifically designates this card as a target and destroy it.
as a side question... does FSD negate the entire effects of the flip effect monsters, such as slate warrior's second effect?