The phrase "about the damaging effect" is correct and usable in written English.
It can be used when discussing the negative consequences or impacts of a particular action, event, or phenomenon.
Example: "The report focuses on the research findings about the damaging effect of pollution on marine life."
Alternatives: "regarding the harmful impact" or "concerning the detrimental effect".
The union, along with many schools and ethnic minority families, is concerned about the damaging effect that the cut will have on pupils' attainment levels.
Few would mourn the departure of crisis-ridden Deutsche Bank from the City, but if a more respected institution – say, Lloyd's of London, the insurance market – could make a detailed case about the damaging effect of Brexit on the financial services industry, voters would wish to hear it.
With concerns about the damaging effect of corruption on the economy continuing to grow, a group of industrialists, economists and finance professionals wrote an open letter to the prime minister, Manmohan Singh, addressing the lack of governance in India (Indian Express).
This represents a partial victory for campaigners, including academics, charities, and a U.K. newspaper, which had called for abolition of the cap on skilled non-European Union workers because of concerns about the damaging effect it could have on Britain's science.
"Our findings about the damaging effect of air pollution on cognition, particularly on the aging brain, imply that the indirect effect on social welfare could be much larger than previously thought," the team concluded.
In private conversations, many performers expressed concern about the damaging effect that needing to be prominent on social media in order to maintain their fan following was having on their mental health.
You are about to witness the damaging effect electricity has on Wood".
I wonder whether there are some people in the media who are so uncomfortable about acknowledging the damaging effect of homophobia because so much of the media has perpetuated it, and sometimes still does".
Internal documents indicate that Exxon, and later ExxonMobil, knew about the damaging effects of climate change but revealed no information to investors or the public.
"Others are agents of social change, using their work to shout a warning about the damaging effects of technology, science and industrialism".
