Yeah it could get on the clutch. I had the crank freeze plug go out on mine shortly after installing my LS7 clutch. I had oil on the clutch and flywheel when I dropped the trans to diagnose that stupid freeze plug. I cleaned everything with brake cleaner and replaced the plug (along with another pilot bearing). So far no issues but you don't want to get too much oil on the clutch. If you do just make sure to clean it very well. I went through a few cans of brake cleaner over a few days.