Victor Moses was the match-winner as Chelsea eased the pressure on London rivals Arsenal by denting Nahki Wells and his Burnley teammates surge for sixth place.
Burnley kicked off at Turf Moor on the back of a five-match winning run, knowing a sixth would see them leapfrog the Gunners and bring the prospect of guaranteed Europa League football within touching distance.
But Moses produced the first-half cross which spawned Kevin Long's own-goal then drilled home a decisive low shot to make it 2-1 after Ashley Barnes had equalised by unintentionally deflecting a Johann Berg Gudmundsson shot.
Wells made his way onto the pitch in the 87th minute but could not help his team find the equalizer.
