Yes—this is a useful setup question. Fishing line can work, but clear line often catches and refracts light, which can make it more visible than expected. A better approach is usually to use a thread or string that matches the background and scene tone: dark thread with a dark background, lighter thread with a light background, and preferably a matte finish rather than shiny or translucent material.

Lighting should avoid specular highlights on the support, since reflections are what make it stand out. In practice, that means avoiding angles that put direct light onto the line and keeping the support against a similar-toned background.

A very common solution is to suspend the object with whatever support is practical, then remove the visible line in post-processing using cloning or content-aware tools. That is often easier and cleaner than trying to make the support completely invisible in-camera.

So: use strong thread/string, preferably matte and background-matched, light to minimize reflections, and plan on retouching out any remaining visible support afterward.