Prepare the Poaching Liquid: Combine water, honey, sugar, cloves, cinnamon, lemon peel, and ginger in a saucepan. Bring to a simmer until the sugar dissolves.
Slice the Quince: Cut the quince in half lengthwise, remove the core, and slice into ¼-inch thick pieces.
Poach the Quince: Add slices to the poaching liquid. Cover with a parchment lid and simmer for 20-25 minutes until tender.
Cool and Store: Let the quince cool in the liquid, then store in the liquid for enhanced flavor. Refrigerate for up to one week.