Core each quarter and discard, cut into bite-sized chunks, then cut each chunk in half, cutting with the grain. Combine in a medium nonreactive saucepan with:
2 fresh red serrano peppers or green serrano peppers, seeded and minced
2 tablespoons sugar
1/4 teaspoon ground cinnamon
1/4 teaspoon salt
Pinch of ground cloves
Bring to a simmer, stirring often, over medium heat. Continue to cook, stirring often, until the pineapple is just tender, 15 to 20 minutes. Serve hot or at room temperature. This chutney will keep, covered and refrigerated, for up to 12 hours.