I'm in traffic all the time so use the clutch a lot, but it is an unusual one and it's great you kicked it off by highlighting the "clicking" noise.
I wouldn't be surprised if any make of bike could do with the same simple bit of TLC.
Does any other make use that system? I've not had a huge list of bikes before the Fazer, but they all used a simple lever on the clutch side rather than a complicated, hard to seal mechanism sited in an area that's going to get pelted with all manner of salt, grit and water if you use the bike in winter.
(If you flushed a load of rust out of yours, I'd be surprised if those ball bearings didn't need replacement rather than just fresh grease.)