Clary injured a ligament in his left ankle in Sunday's 32-3 win at Denver.
Runyan hasn't played since the end of last season. He wasn't re-signed by the Philadelphia Eagles after having microfracture surgery on his right knee.
Runyan never missed a game in nine years with the Eagles, starting 192 straight regular-season games.
He turns 36 on Friday.
General manager A.J. Smith and coach Norv Turner didn't immediately return calls seeking comment Tuesday evening.
Earlier this month, Runyan said he's considering running for Congress in New Jersey's 3rd District.