"Most of the reduction was due to fewer clouds occurring at very high altitudes"
That's not quite the same thing as clouds getting lower.
The average altitude is getting smaller which could be read as "getting lower" if one really wanted to.
The sky is literally falling. I wonder if this continues, that it would get people to wake up about climate change.
"A consistent reduction in cloud height would allow Earth to cool to space more efficiently, reducing the surface temperature of the planet and potentially slowing the effects of global warming."
So this would appear to counter act the global warming aspect of climate change.
But not the climate change aspect of climate change
The article does not really suggest that the variation must be related to climate change, and mainly simply reports an interesting result with the need for more data. I suspect (though open to be corrected) we already know about plenty of weather features that can regularly vary by 1% over ten year periods, climate change or no climate change. (The annual minimum Arctic ice area, by comparison, shrunk by something like one-third in the same time period, although it has stalled the last few years.)