The Hammers secured their first away league win of the season thanks to a fine 2-1 victory in west London, which was kicked off after three minutes by record signing Matt Jarvis.
Ricardo Vaz Te acrobatically doubled the visitors' advantage and, while substitute Adel Taarabt pulled one back in style, West Ham held on for a victory that propels them to seventh.
"We've achieved our first Barclays Premier League (away) win, which is no mean feat for a newly-promoted team," Allardyce said.
"I think the outstanding qualities we showed today [Monday] both in our ability to take the game to the opposition away from home and our ability to score goals was fantastic to see.
"As the underdogs, having just been promoted, to come to QPR and take the game to them and dominate that first half was great for me to see.
"If I had to say anything, I was a little bit disappointed we didn't get more than two.
"I was concerned ultimately when they scored their goal we were going to pay the price for that, but in the end we didn't of course.
"We knew somewhere down the line the game would change with the substitutes, but we didn't expect Taarabt to score a wonderful goal.
"It was a great, great goal and obviously put their tails up but our resilience came in. Our defensive qualities came to the forefront as we have shown for most of the season.
"We eventually saw the game out and I am little disappointed we didn't finish them off, but absolutely delighted we won the game and deservedly so."
The only blot on a fine evening for the Hammers were the enforced first-half substitutions of Winston Reid through concussion and Joey O'Brien due to a hamstring injury.
It could have been a whole lot worse, though, as referee Clattenburg handed out eight yellow cards to West Ham players.
"He hasn't spoilt our result but if you look at the spectacle as a game I think there were an awful lot of fouls and decisions he gave that he didn't need to do," Allardyce said.
"An awful lot of yellow cards he gave nearly spoilt the game and I suppose Mark [Hughes] will be disappointed.
"I know we got fined for seven bookings and he has given 20 fouls against us today in a non-physical contest.
"That is really, from my point of view, disappointing but it hasn't affected our performance or result, but what it did was frustrate everybody."
QPR manager Mark Hughes was also frustrated with Clattenburg, who sent off substitute Samba Diakite after handing him two yellow cards in a 20-minute period.
"He has made two similar challenges," the Welshman said. "I wouldn't say they were reckless.
"The first one was a genuine attempt to get the ball but the lad has just nicked it away from him.
"It doesn't warrant a yellow card in my view. Some referees give them, some don't.
"At that point the referee is under pressure because if he mistimes another tackle the likelihood is he has to send him off, which he did.
"It is harsh on the lad because maybe the fact he has been in that situation before referees are remembering, because he doesn't seem to get any leeway, unfortunately."
Diakite's red card 15 minutes from time all but ended QPR's comeback as they slumped to defeat, extending their winless start to the Premier League.
They lie rock-bottom of the standings with just two points from six games, which has seen the pressure begin to mount on Hughes.
Asked if he was confident he would get time to see the job through, the QPR boss said: "I would think so. We have had a big investment and we're looking to improve this year and we will.
"It is very, very early days but until we get positive results on the board then obviously everything is up for debate and a focus begins to come on the club as a whole.
"We just need to start winning football matches. If we do that, it goes away."