Several publications have reported that total column ozone (TCO) may oscillate during solar eclipses, whereas other researchers have not seen evidence of such fluctuations. Here, we try to resolve these contradictions by measuring variations in TCO during three solar eclipses. In all instances, the variability in TCO was within natural variability. We conclude that solar eclipses do not lead to measurable variations in TCO, drawing into question reports of much larger changes found in the past.