Having grabbed the assist for the Foxes equaliser, Maddison went close to scoring the winner at Stamford Bridge but lacked the finishing touch, much to Clarkson's frustration.
"James Maddison. Too long at the barber’s. Not enough time practicing football," the English TV presenter tweeted.
The Leicester midfielder quickly shut Clarkson down however with a brutal post-match reply.
"Stick to cars mate. Can count on one hand how many trims you’ve got left #thin," Maddison tweeted.
— James Maddison (@Madders10) August 18, 2019
Maddison, 22, joined the Foxes at the start of last season after sealing a move from Norwich City and was called up to the senior England team for the first time in October last year.
The attacking midfielder scored seven goals and contributed seven assists in his first Premier League campaign and has looked sharp at the start of his second season.
Leicester have drawn their first two matches against Wolves and the Blues respectively, with Maddison adamant they could have taken all three points against Frank Lampard's side on Sunday.
"You see the lads on their knees there because ultimately, we're coming away disappointed," Maddison told Sky Sports post-match.
"We had chances, myself included, and if you come to Stamford Bridge and you play like that, you have to score the chances you create.
"I'm sure we'll watch that game back and be disappointed we don't come away with three (points)."
The Foxes face Sheffield United next Saturday in the league and they'll be desperate to pick up their first win of the season against the recently promoted side.
Brendan Rodgers' men currently sit 12th in the Premier League and will be eager to improve upon their ninth-placed finish last season.