This is the problem with on-line diagnosing. What constitutes a "rattle? What's the difference between a "normal" rattle and a "metallic" rattle ? It's all speculative and dependant on ones ear. I'm sure if you asked 10 people to describe a "rattling sound" you'd get 5 different answers. Keys on a ring, two wrench's banging together or a couple of tags on your dogs collar. They all "rattle" !
An audio of the "rattle" as stan suggested might be helpful but I've tried many times to get a sound-bite of various such noises and it's difficult at best to get the recording device to isolate it, or to disseminate the various other noises from the one you're trying to identify.
Further to the "adjustment" idea: If the adjuster was too tight, the clutch-plates would separate more then usual when the lever is pulled and.......would that not allow the plates to "rattle" more then "normal' ? When the lever is pulled in, the clutch plates are basically 'floating" ........aren't they ?
A mechanics stethoscope may narrow the field. The mystery sound may not necessarily be coming from the clutch assembly but merely be manifesting there due to simple harmonics.
As suggested: Pull the clutch cover and look for "the obvious" because at this juncture - anything is possible !