In a hard-fought affair at the Brentford Community Stadium, a solitary goal from Ben Chilwell was enough for the Blues to claim all three points and maintain their one-point gap over Liverpool and Manchester City, both of whom won earlier in the day.
Liverpool demolished Watford 5-0, with Mohamed Salah scoring another goal of the season contender, while Man City comfortably brushed aside Burnley with a 2-0 home victory with Bernardo Silva and Kevin De Bruyne scoring.
The game of the day saw Manchester United travel to Leicester, and it proved to be another unhappy afternoon for Ole Gunnar Solskjaer.
Despite taking an early lead through Mason Greenwood, the Red Devils would go on to lose 4-2. In a five-minute period in the second half, Man Utd twice went behind with an equalising goal coming in between three quickfire strikes.
Jamie Vardy scored the third and Patson Daka scored his first Premier League goal to make it 3-2 then 4-2. Man Utd are now five points adrift of Chelsea at the top of the table, while Leicester are up to 11th.
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