I had a clunking noise from the right wheel while turning left. It was rhythmical noise matching wheel turns. The reason was, as Shvegel is sugesting, the axial (in-out) play in the right wheel bearing - the special one, discussed here in a lot of posts. On turning left the wheel was pushed too much in, the wheel bolts were touching the handbrake shoes assembly that was, by the way, a bit lose. Bearing replacement fixed the issue. As the seats for the wheel bolts in the rims are worn over time, I figured the bolts may be sitting a bit deeper than the design would suggest, so I also did some grinding of the bolts (1mm) to make them a bit shorter, just in case.
Once before I had a case that the handbrake shoes assembly just got lose (one of the springs holding it came out of its slot) and was also making noise. Removing the rear wheel, brake caliper etc. was an easy job even for me. So I could do a simple fix.