Go to the Condominiums in Jubilife city. On the first floor, talk to the blond girl standing next to the two pokemon. She'll give you the Quick Claw.
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a quick claw is what you give a Pokemon to increase itsspeed
If you want to get quick claw in D/P or Platinum you will have to get it from R/S/E and migrate a Pokemon holding it
Quick Claw increases the possiblity of your Pokemon attacking first in battle.
You can get the quick claw in the safari zone.
The Quick claw is located in the National Park in Pokemon Heartgold and Soulsilver.