Pull the cover and start checking things out. I wouldn’t ride it until you get this sorted out. Let us know what you find.
COULD BE SOMETHING SIMPLE LIKE AN OIL LEAK IN THERE GETTING ON THE CLUTCH SHEAVES. OPEN HER UPThe 660 service manual doesn't list any specs on the belt. The 660 and 700 use the same belt the 700 spec is 33.3mm wide down to 30mm wide.
A worn belt will normally involve much more slipping and not just the short squawk. Also a belt worn can cause noticeable loose of top end similar adding shims.