If it's a 30 year old cutting board then I'd say yer safe.
But if it's a new cutting board just treated with "boiled" linseed oil,then don't. It's the varied "drying" agents we don't really know about now adays.
Glued lamination boards are fine, as long as the face grain is available and pre-dominant. We treat our raw cutting boards with "mineral oil" or just plain "vegetable oil" in this neck of the woods, and do use soap and water too wash after every use. After all, the air ain't as clean nor the water as pure ,as it was 200 yrs ago. Yet with just a little care,we all do just fine.
luck to ya,