Jamie Ward missed from the spot for the Rams, who have now failed from their last four spot-kicks, before Carlos Edwards's late strike earned Ipswich the victory.
And Clough revealed he will be nominating a new penalty taker, with Ward and Conor Sammon now having missed two spot-kicks each.
"That's the last four, so we will certainly look at changing our taker now," Clough said. "When you miss one, you don't mind but when they miss two consecutively... we will change our penalty taker.
"It's a highly unusual stat to miss four on the spin - incredible, really. Me and Andy Garner (Derby coach) are fighting over the next one! We will have a chat with the lads and sort it out. Someone will stand up. There's no shortage of volunteers for it - two or three fancy it.
"We didn't start as brightly at home as we have been doing but once we got into our stride we played some great stuff and if we score the penalty we come in at 1-0 and take it on from there and could have won the game comfortably.
"But it really sticks in your craw when you lose those sort of games. That's the biggest disappointment today. We gave a needless ball away in midfield and we've conceded from it."