You know what, I took the hose totally off. I just put the dripper on the top of the uvb hood and let the water drip out of the spout. It was easier for me, but the drippers I have are called "the little dripper" by zoomed.
My answer is if you want. It doesn't really matter. Some chams like it better in the cage though. If he's drinking with it outside, then let it be unless you want to put it in the screen/cage.