Great! Consider using the claws to put Oz's life into context. Some more detail around the claws could explain class, income, social status, family history, etc.
Mom knows about the claws, so is it a trait unique to her family? Or does only Oz have claws and that's why he's tasked with maintaining the lawn? Does his brother get unique chores related to another power? Is there a reason Mom can't do yard work? Just small observations by characters can help the player catch up on your OC's lore.