Rob , I measured the Line-o-tape I have and it's between .003 " and .004" thick .
If you mean to use it as a pinstripe to separate two colors it works great ! It's flexible enough for curves but not too tight , similar to other tapes I've used . The one time I used it ( my '72 Ranchero ) , it stuck just fine and is still staying put . Maybe wrapping around a radiator hose is too small a diameter for it .