Corrected entry: Spoiler: After removing the spider-bot from his system Wolverine's healing power goes straight back to normal, sealing all his wounds and basically bringing him back to life. But when his claws are cut off near the end, his bone claws don't grow back even a fraction during the final fight.
Corrected entry: The Silver Samurai cuts off Logan's Adamantium claws with the super heated swords. But you can see that the cut is not all the way down to his skin. The base of the metal claw is still there with bits of the bone claw still inside. Moments later when the bone claws heal, he extends them to stab the guy. Yet his entire set of claws are fully bone. The base should still be visible as Adamantium.
Corrected entry: In the shot after Wolverine throws Yashida out the hole in the wall, you can see the light shining on his adamantium claws, even though they were cut off by Yoshida earlier in the movie and Wolverine had grown bone claws before stabbing them into Yoshida to kill him.