Place a large pot over medium-high heat with the four reserved corn cobs, celery leaves, water and chicken stock. Bring liquid up to a bubble and reduce heat to medium-low. Simmer and reduce broth until about 1 1/2 cups remain, about 10 minutes. Keep warm until use.
While broth is simmering, place a heavy-bottomed pot over medium-low heat with 1 turn of the pan of EVOO, about 1 tablespoon. Cook the bacon until crisp and brown, 4-5 minutes. Remove bacon from pot with a slotted spoon and drain on a paper towel-lined plate.