Livingston, taken by Los Angeles as the fourth overall pick in the 2004 NBA draft, hasn't played since injuring his left knee in a game on Feb. 26, 2007.
The Clippers declined to give him a $5.8 million qualifying offer this summer.
According to the NBA collective bargaining agreement, a renounced player no longer counts toward team salary, so teams use renouncement to gain additional cap room. A team can still re-sign such a player, but the team must either have enough salary cap room to fit the salary, or sign the player using the minimum salary exception.
After renouncing a player, a team also can trade him in a sign-and-trade agreement.