Sarries had not been beaten since Leinster dumped them out of last season’s Champions Cup at the quarter-final stage in April, but they finally came unstuck at Sandy Park on Saturday.
Mark McCall’s side made a strong start in the first meeting between the top two since they beat Exeter in the 2017-18 Premiership final and were rewarded with two Owen Farrell penalties after losing captain Brad Barritt to concussion.
The Chiefs responded well and led 10-6 at the break, Luke Cowan-Dickie scoring the opening try after Sam Skinner charged down a Ben Spencer kick and Gareth Steenson slotting over a penalty after his conversion had sailed through the posts.
Harry Williams added a second try when Sarries were outmuscled in a scrum, then a penalty try and a Matt Kvesic score either side of a Spencer try put Exeter three points clear at the summit.
Leicester stopped the rot in their first game since Geordan Murphy was named head coach on a permanent basis, seeing off Harlequins 35-24 at Welford Road.
Jonah Holmes scored a first-half double, then Manu Tuilagi and Jonny May went over as the Tigers moved just a point behind Quins in sixth spot.
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