The August 2013 clashes took place a month after the democratically-elected Mr Morsi was ousted, with hundreds of demonstrators and dozens of security personnel killed after the latter moved in to break up two sit-in protests.
Among those arrested that day was the award-winning photojournalist, Mahmoud Abou Zeid, better known as Shawkan.
He was detained while taking pictures of the dispersal of a protest. He has been held in prison ever since and faces a series charges.
A decision in his case was postponed by the judges on Saturday.
In the months that followed the clashes, there was a crackdown on the former president's supporters, and on the Muslim Brotherhood group to which he belongs, which Egypt later declared a "terrorist organisation".
In a statement, Amnesty International pointed out that, while many thousands of people have been arrested since, "Egyptian authorities have never questioned or prosecuted any of the security force personnel" who were involved in the clashes.