A former Derby player, McClaren was appointed to succeed the sacked Nigel Clough on Monday but Darren Wassall took charge against Ipswich.
McClaren must have been a worried man at half-time after seeing Christophe Berra, Daryl Murphy, Aaron Cresswell and Ryan Tunnicliffe score to make it 4-1 to the visitors.
Only Zak Whitbread, signed on loan from Leicester on Monday, gave Derby anything to cheer with a debut goal.
But after a half-time visit to the dressing room from McClaren, Derby turned the tables. The deficit was down to one at the hour mark thanks to Craig Bryson and Jamie Ward, and Bryson's second two minutes from time earned an unlikely point.
QPR's evening off allowed Burnley to leapfrog Harry Redknapp's side into top spot in the Championship table.
Sean Dyche's side continued their superb start to the season with a 2-0 victory at Doncaster.
Sam Vokes tucked away a penalty just before half-time after being fouled by Rob Jones, who completed his own nightmare evening by heading into his own net three minutes from time.
Leicester also have 23 points after a 2-1 win over struggling Yeovil.
Lloyd Dyer netted the opener in the 54th minute and David Nugent scored from the spot nine minutes later, although Yeovil ensured a nervy finish with their own penalty, scored by James Hayter six minutes from time.
Andy Reid netted again for Nottingham Forest as they took a third-minute lead against Charlton but Marvin Sordell earned the Addicks a much-needed 1-1 draw five minutes after the break.
Barnsley stayed bottom but earned an impressive 1-1 draw with high-flying Reading, Chris O'Grady (79) cancelling out Hal Robson-Kanu's (51) opener.
Bolton and Sheffield Wednesday are also on five points after extending their winless starts to 10 and nine games respectively.
Bolton drew 0-0 with Blackpool while Wednesday were agonisingly denied victory in a 1-1 draw against Brighton.
Matty Fryatt put the Owls ahead two minutes before the break but Keith Andrews equalised in the 90th minute.
Birmingham were the biggest winners of the night, hammering Millwall 4-0.
Jesse Lingard missed an early penalty but it did not matter as David Murphy struck twice before half-time and Tom Adeyemi made it three, before Lingard did get on the scoresheet in the 89th minute.
It was a mixed night for Leeds striker Ross McCormack in a 2-1 victory over Bournemouth.
With an hour gone, Cherries keeper Ryan Allsop was sent off for a foul on Noel Hunt, but substitute Darryl Flahavan's first touch was to save McCormack's penalty.
McCormack only had to wait until the 52nd minute to beat Flahavan, and Dominic Poleon scored an 80th-minute winner for Leeds after Lewis Grabban (73) had netted for Bournemouth.
Jordan Rhodes headed the only goal as Blackburn beat Watford 1-0 while Ben Gibson (79) was on target as Middlesbrough drew 1-1 with Huddersfield, who had taken the lead 20 minutes earlier through the prolific James Vaughan (59).