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If I use a card such asRescue Rabbit, and I use D.D.R, to bring it back. Can I use it's effect again. Since it's a new Monster? Or if it's off the Field but I can bring it out with something again?

Edit: This was the conversation, I stated: Actually, no. The Rabbit's do get their effect again if they get brung back from the grave ,hand, or RFG. By bringing a Monster back, their effect will apply again since the monster came from what I just explained. Basically, it's a new monster.

Other person: No. It's effect can only be activated once per turn. Doesn't matter if it was removed and brought back, etc. So you can't use multiple Rabbits in one turn.
It's just like Spore, or Glow-Up Bulb's effects. (Except it's once per turn, not duel)

With the given wording of Rescue Rabbit, you cannot activate the effect again because the restriction will include any and all Rescue Rabbits played that turn.