Mash / Cinelli Vigorelli

As per Sheldon

if you install a J.I.S. crank on an ISO spindle, it will wind up about 4.5 mm farther in than it would on a J.I.S spindle of the same length.

I think this is the case. It's too close and will flex that to gouge the chainstay.
If you're sure the BB is JIS then measure the chainline up front. If that is spot on too then you'll have to live with a slightly off chainline after installing a longer bb until you get a better crank. Running a 3/32 sprocket on the back will be more forgiving of the misalignment than a 1/8