Tart and Sweet has a recipe for Candied Kumquats that looks good - I've never tried it though. Let me see if I can post the recipe without violating copyright laws here:
3 lbs kumquats halved and seeded
2 cups water
2 cups sugar
1 vanilla bean
5 cinnamon sticks
5 star anise pods
Blanch kumquats 3 times using fresh cold water each time. Strain. Rinse.
Make a syrup out of the water and sugar and vanilla beans that have been scraped from the pod. Boil 2 minutes.
Pack kumquats in jars, add cinnamon stick and star anise to each jar.
Use proper canning techniques, like packing hot fruit into hot jars and topping with hot syrup. Leave 1/4 in headspace. Remove air bubbles, wipe the rim, add lid and band then process for 10 minutes .
Makes 5 half-pints.
(Hopefully this makes sense. I changed to wording on the instructions to avoid copywrite violation.)