Clough was confronted by a man, believed to be a Millwall supporter, in the technical area during the second half.
The man then ran across the pitch, through a group of players from both teams, evading an attempt to restrain him by a steward before disappearing into the crowd on the other side of the ground.
On Monday police confirmed that a man has been bailed to appear at Bromley Magistrates Court on October 4 in connection with the incident.
Clough was unhurt following the incident but is waiting to see if any action will be taken.
"We were just concerned about the player's safety but as far as we're concerned it's done now and it's up to what the referee says and what the Football League does," he said.
"I just hope it doesn't get to the stage where somebody gets hurt before something's done about it."
After the match, Derby coach Andy Garner confirmed that crowd trouble had led to the substitution of defender Adam Smith.
Smith became the target of sustained abuse from a section of the home crowd and was reportedly hit by an object thrown from the stands as he prepared to take a throw-in.
"The ref was trying to get Adam away from things because when you're taking a throw-in, they're not very far away," said Garner.
"All I could see was streams of fans coming down to the front and I thought: 'This could get out of hand'.
"I had a quick word with the gaffer and we said: 'Let's get him off'. He was on a yellow card anyway, so we were a little bit concerned about that."