Prepare the figs. Cut off the ends of the figs (not completely) with manicure or small kitchen scissors. Cut the bases crosswise by about 5–6 mm. Stick a clove bud into 4 figs.
Cook the fig jam. In a saucepan with a thick bottom, mix the balsamic vinegar, lemon juice, and water. Add sugar and lemons, bring to a boil, and skim off the foam. Cook on low heat for 10 minutes. Add the figs and stir. Bring to a boil, reduce heat to low, cook for 3 minutes, remove from heat, and cool completely for 3-4 hours. Stir and repeat the procedure three more times (4 in total). Place the finished jam in sterilized jars and close with lids.