"Tinkling sound"? could be the piece being picked up by the fly wheel teeth?, not so good. You might try getting a long flexible shaft with a magnet on the end and try fishing around anywhere you can poke it. The magnet should be available at an auto parts store. Not sure how much damage the piece could do but it would be better if you can get it out. Something like this:
Pick-up Magnet 'Snake Magnet' 4 lb. Flexible Shaft on eBay!