Timing Chain Tensioner

I put one on my double roller. It really didn't need it.
Ok so I've made up my mind. I've ordered a double roller timing set by Cloyes for my engine. If that also ends up being too loose, I will add a tensioner. I prefer to not need a tensioner, but if the cloyes set is loose I will add one. Can you add a tensioner to a double roller style chain?