The Blades boss was delighted with his side's performance as they knocked Fulham out of the FA Cup, especially after suffering a 3-0 defeat at the weekend against Crewe Alexandra
Clough's side booked their place in the fifth round where they will face either Preston North End or Nottingham Forest thanks to substitute Shaun Miller's header in the final minute of extra-time in Tuesday's replay at Craven Cottage.
Having hung on with 10 men at Bramall Lane to force a replay, before holding their own for 120 minutes on Tuesday night, Clough believes his struggling League One side fully merited the victory.
"If you hang on in there at 0-0 you've always got that opportunity. It's a remarkable effort by the players. You hear our 3,000 supporters out there absolutely loving it," he told ITV Sport.
"I thought we did enough during the game to get one (goal), with a little bit more composure in and around the goal area. But we didn't think it was going to come that late. To score 30 seconds before the end, it's special."
Clough was especially pleased by the resolve showed by his group of players after slumping to a 3-0 defeat at Crewe Alexandra on Saturday, a result which extends their wait for a league win in 2014 and keeps them in the relegation zone..
"You sense this about the group. We had a bad off day on Saturday against Crewe," Clough said.
"We think it was just one of those days, put it behind us and produce another performance. A very honest bunch of lads."