Here is one possible solution.

You could do two separate renders, and save them in a format that supports an alpha channel such as png. The first render would contain all items except the one that requires special lighting, and would be light by all lights. In the second render the special item is added, all other items are hidden or deleted from the scene, and all lights that you don't want to affect the special item are turned off. In a paint program (eg PaintShop Pro, or PhotoShop, etc) you would composite the two images by copying the special item from the second render and pasting it into the first. In PSP you use selections > Load From Alpha Channel, to do this.

If the special item is partially occluded by some other item(s), and also partially occludes some other item(s), the situation is more complex, and you would need three renders, one for the occluding foreground item(s), one for the special item, and one for the occluded background item(s), but the same principles apply.