Hi Ken. The answer seems to be yes. After quickly asking my husband, he mentioned something about finding and possibly raising the anchor in the late 1950's, so I did a search and came up with this address.
The Bounty...what's left of her...has been explored, and quite a few decades ago. I read about it in a National Geographic book on ships and the sea when I was a child. I wish I knew where it was, so I could give you something more specific.
Just back from Auckland, NZ, where I spent a lovely afternoon at the National Maritime Museum. Amongst its many excellent exhibits was this treasure: HMS Bounty's anchor. It was recovered from a coral reef off Tahiti, and it's remarkable how much of it is left. If the photos work out, I may be able to post a small picture. (Unfortunately I didn't have my tripod with me.)
Good stuff, Fi - I'd be interested in seeing the shots. I was just reading some of Lt. J. Shillibeer's A Narrative of the 'Briton's' Voyage to Pitcairn's Island, etc., etc., the other day, and it brought the Bounty story back to mind. I recieved your PC by the way - what a subject near and dear to my heart!
Speaking of maritime museum photos...I have the sneaky suspicion that I didn't send you the James Caird shots, did I? And I need to tell you the 'smelly sledge dog' story I've just heard from colleagues.