Hi weevee
First I have some questions:
Is this a problem that has always been there or has recently developed.
Does the clutch work normally and it has good feel meaning not harsh or grabby, slipping etc.
It should not be the case that the dry clutch is so loud to be annoying and then only when in gear and clutch disengaged is there any sound from the clutch.
When clutch is engaged there is nothing to be heard, whether in neutral or under load the entire assembly acts in unison.
I assume that all other causes of knock or drumming or ringing have been eliminated and that you are confident that the clutch is the problem?
Any knocking from clutch side then I would need to satisfy myself that the main bearing is OK.
Also there is a long standing worry among the Morinisti that the nut securing the primary drive gear could be loose.
And Indeed overly retarded ignition can give these kind of sounds.
But to help with the clutch because first you must be happy that all is well with the clutch.
To check the clutch:
With plates removed,
Please to check that there is not excessive rock of the clutch basket (by the way its called campana or bell in Italian !),
i.e outer aluminium part. Its hard to be precise here but i think already you say it appears to run true.
If the clutch basket is properly secured to the primary drive gear then any rocking here could be due to the centre bush of the gear being worn out.
With this problem there is likely to be oil inside the clutch cover.
If there is no rock then check the end float.
I assume the centre nut is tightened to the specified torque.
The clutch outer basket relative to inner centre end float should be between 0.02 and 0.08 mm , that is just perceptible float.
If there is a brushing sound as the clutch centre is rotated its OK but there should never be a knocking scraping or grinding
If there is excessive end float or binding at any point i suspect the special washer(bush) behind the clutch centre is failed.
Please say the age or engine number of the machine because there are three different types of special washer.
The clutch centre washer was on very early bikes made of steel but later replaced with bronze and finally with specially treated nylon
See picture:

- Clutch special washer
- Clutchwasher.PNG (110.96 KiB) Viewed 10042 times
I think if all these points check out then you should compare the sound with another Morini to take the bike to a specialist. Where are you located?
Mark