Combine the water and brown sugar in a medium saucepan over medium heat, stirring until the sugar dissolves completely and the mixture begins to simmer lightly.
Add the ground cinnamon and ground cloves to the simmering syrup, whisking briefly to incorporate the spices and release their aromatic oils.
Once the mixture is fragrant and bubbling gently, stir in the pineapple chunks, ensuring they are well coated with the spiced syrup.
Adjust the heat to low, then cover the saucepan and let the pineapple simmer softly for about 10 minutes, until tender and translucent with a slight syrupy glaze forming around them.
Uncover the pan and stir in the freshly squeezed lemon juice to brighten the flavors, continuing to simmer uncovered for another 5-10 minutes to thicken the syrup slightly.
Once the sauce has thickened to a glossy consistency and the pineapple is soft but holds its shape, remove the pan from heat and let it rest for a moment to settle the flavors.