Cyril Thereau gave the hosts the lead before a second-half comeback featuring goals from Fabio Quagliarella and an accidental strike from Alessandro Bernardini
Cyril Thereau put the hosts ahead in the 28th minute before the champions hit back in the second half through Fabio Quagliarella and an Alessandro Bernardini own goal to seal all three points and maintain their unbeaten record this season.
After a cagey opening to the game, Juve began to look more threatening with Fernando Llorente, Quagliarella and Paul Pogba all firing over in the space of five minutes.
But, despite those chances for the Turin-based outfit, it was the hosts who took the lead just before the half-hour mark.
Gigi Buffon's poor clearance was brought down by Sardo, and his early pass was swept home first time by Thereau from just inside the area.
The visitors responded to falling behind brightly, with Andrea Pirlo's shot from the edge of the box deflected just over the crossbar.
Quagliarella then stung the palms of Christian Puggioni, the Chievo goalkeeper beating away an effort from distance in the 38th minute.
And Llorente wasted a golden chance to equalize two minutes before the break when Mauricio Isla's shot was deflected into his path, but the Spain international's weak header was easily gathered by Puggioni.
A minute after the interval, however, Juve was level thanks to Quagliarella. It was a scrappy equalizer, with the Italy international seeing his initial header saved, before hitting both bar and post with the rebound and finally stabbing the ball in from right on the goalline.
Two minutes later, the Sannino side thought it had retaken the lead when Alberto Paloschi converted the follow up after Buffon's fumble, but the referee's assistant had raised his flag, although replays showed Paloschi to be well onside.
As the game opened up with the hour mark approaching, Claudio Marchisio and Chiellini were both denied by Puggioni from range, with Llorente sending another weak header straight into the keeper's arms.
Juve continued to press though and went ahead in the 65th minute, as Bernardini deflected home Pogba's wicked cross from the right-hand side with Llorente waiting to pounce.
The remainder of the game saw no clear-cut chances as Conte's men closed out the match to move up to third in Serie A.