The phrase "had only slight" is grammatically correct and can be used in written English.
It can be used to indicate that something was only slightly present or had only a small degree of importance. Here is an example: "The impact of the new policy had only slight effects on the company's profits."
Prosecutors argued he was fit to stand trial as a Chinese psychiatrist found he had only "slight mental development delay", Fairfax reported.
For the most part, the four of them had only slight personal acquaintance, although they followed one another's writings, and Day and Merton maintained a long correspondence.
Most of the hundreds of westerns made from the 1920s to the 1940s were low-budget films that had only slight variations on standard plots.
He has had only slight influence in the Clinton administration, which he joined early last summer, after William M. Daley left the commerce post to become chairman of Mr. Gore's campaign.
Overall, the medications looked best for very severe depression and had only slight benefits for mild depression — but this study, looking at weak treatments and intentionally maximized placebo effects, could not quite meet the scientific standard for a firm conclusion.
The monk had only slight burns to his leg, according to Xinhua.
But the mayor has only slight influence over public transit policy, controlling only 4 of 14 votes on the transit authority board.
It would unduly penalize plaintiffs, who were innocent and unaware of the misconduct, and would have only slight marginal deterrent effect.
The stones now associated with each month have only slight relationship to the ancient beliefs, for the list is tempered by availability and cost.
Buildings at IO should have only slight damage.
These areas have only slight links to philosophy.
