Because we're engineers and solving problems is what we do, my friend Silas Hughes and I designed and built a super simple mount for both my webcam and overhead light.
For this build I used 4' of 1/2" PVC, an L joint, a 4-way joint, a handfull of zip ties, and a borrowed PVC cutter.
This build took me ~ 20 minutes and only cost about $6. Super easy, right?
Step 1: Measure Twice...
Step 2: Rotate and Tighten
Step 3: A Very Ugly Pipe
Step 4: Proper Planning
Step 5: Stabilization
Join this new short piece to the L joint from the previous steps.
Put the 4-way joint on the other end of that such that it is orthogonal to the original pipe. This acts as a stabilizer preventing roll. If you had any extra length of pipe you would stick pieces in the side holes of this joint to further increase stability.