I had that problem and had to repaint my lights, covering more of the "chrome" the second time.
My advice is to use the best easy-release tape you can find and press it down only at the edges. Try not to press the tape onto the actual reflector surfaces any more than necessary. If the reflector surface pulls off, there is no way to fix it properly.
In the end, I only had to touch up a small section right on the thin reflector rim of one headlight using silver paint.
In this photo, you can see that the fluted section leading to the parking/signal light is black. The first time around, I left that chrome. A lot of it peeled when the tape was removed, so I had to remask and paint it black the second time.