Quickly blanch the kumquats (drop into boiling water) and then shock in ice water.
Remove, halve, and pit.
Boil the sugar and water for 5 minutes, pour in the orange juice, and boil for a few more minutes.
Add lemon juice, grenadine, star anise, and kumquats.
Mix the Grand Marnier and Jamaica rum with cornstarch, stir into the ragout, and let boil briefly one more time.
Notes / Tips / Wine Advice:
The kumquat, which originates in East Asia, is mostly used in the modern patisserie as seasoning and decoration due to its distinctive, delicate bitterness. Kumquats taste best warm, perhaps as a delicious addition to an airy chocolate soufflé.