I haven't tried this exactly, but when shooting a stethoscope - which has a very odd-shaped chromed part (diaphragm), I used a huge piece of white cloth to surround it, leaving a space for the camera lens.
Last year I took photos of vintage cars and was unable to avoid reflections in the chromed parts. Even when I managed to have myself and the camera out of the reflections, someone/something else would pop in. I'm looking forward to the answer you get, and see if I can do something better next time, although this is a very uncontrolled condition (unlike shooting the stethoscope indoors).
Regards,
Adelaide