Combine all of the ingredients in a large saucepan and bring to a boil.
Lower the heat to maintain a bubbly simmer and cook, stirring occasionally, for 45 to 50 minutes with the lid partially off so that the liquid begins to evaporate.
Once the pears are soft but not mushy and the liquid has reduced to a thick coating over the fruit, remove the chutney from the heat.
Remove the star anise (you can save it for garnish, if you like).