Found the jam recipe. I think it may be Paula Deen's. I have no tried this so I cannot vouch for it yet.
Crush your fruit of choice. I recall seeing this done with raspberries, but other berries are probably fine. I would assume that something more structured, like an apple, would not work. You want something smushable. Anyway, I think the show used a blender or food processor but I bet a mortar and pestle could be used (another tool sozlet could use safely).
Add sugar. I have no idea how much. I'd say, taste it, but assume that the sugar is going to carmelize and concentrate so add less than you think you might need (you can always add more but can't take any out if you've added too much). It has to be something that can be cooked so sugar is okay and so is, I bet, Splenda. Equal doesn't work for cooking so don't use it. I assume honey would also be fine, maybe even maple syrup. Hmm.
Stir.
Microwave, uncovered (so as to let the steam out) for 18 minutes. Since I am unsure which type or power level microwave was used, I'd say, check every 5 minutes or so. I believe it was on high. If you're using a liquid sweetener (like honey), I bet it will take longer to get to the right consistency. Anyway, reconcile yourself to the very real possibility that the first batch or two will be trial and error.
Suddenly, it's jam!
Refrigerate. Toss after, I'd say, 2 weeks. This is homemade so there are no preservatives in these, heh, preserves, so you need to be careful. Definitely keep it refrigerated as botulism could be a concern.
I recall on the show it was very spreadable, really appeared like professionally made stuff. I think I might try it this weekend.