1. Hearts On Fire has dismissed its case against De Beers Diamond Jewelers. The case, launched Aug. 3, claimed De Beers' retail chain had infringed on its Sublime mark.2. Richemont, owner of Cartier, Vacheron Constantin, and IWC, has sued TheFinestWatches.com, charging the San Francisco jeweler/website with advertising Richemont products it isn't authorized to sell. The store declined comment.3. The 7-year-old antitrust lawsuit from defrocked sightholder W.B. David against De Beers was dismissed Sept. 29 by a federal judge. A David estate trustee appealed a month later.4. On Oct. 21, a federal judge gave preliminary approval to settle a class action suit that charged Helzberg Diamonds with misleading people who bought princess cuts in its Masterpiece collection by advertising them as "hearts and arrows" cuts. Each class member is entitled to a cash settlement payment of $50 or $100 towar