The phrase "a slight exaggeration of" is correct and usable in written English.
It can be used when describing a statement or claim that is not entirely accurate but is presented in a way that is somewhat overstated.
Example: "His claim that he ran a marathon in under two hours was a slight exaggeration of the truth, as he had only completed a half marathon."
Alternatives: "a minor overstatement of" or "a small embellishment of".
"People are constantly screaming at me on the show," he said, allowing that this is a slight exaggeration of his relatively civilized existence as a supersuccessful Los Angelino.
Onstage were three urns, the middle one labeled "Hundreds of Thousands," which could serve as a slight exaggeration of the number of drawings produced by the artist.
That's only a slight exaggeration of the sort of doomsday propaganda spun out by the National Rifle Association and its supporters in Congress, as part of the campaign to paint Mr. Obama as a bleeding-heart liberal on guns.
For all the surrealism of Carroll's vision, his characters are only a slight exaggeration of their real-world counterparts – after all, childhood can seem like an exercise in learning a game with arbitrary rules.
The wire is just a fanciful extrapolation of contemporary virtual reality (see fig. 1), with its goal of unmediated visual and aural experience; and the proliferation of media in 2K L.A. is only a slight exaggeration of our current media-rich environment, in which digital technologies are proliferating faster than our cultural, legal, or educational institutions can keep up with them.
We note that this selectiveness may have led to a slight exaggeration of the estimated dropout fractions compared to data generated from a random PCR-repeat schedule.
It is only a slight exaggeration to say that, most of the time, almost nobody listens to a word they say.
It is only a slight exaggeration to liken the potential usefulness of this and other big data sets to the enormous benefits of the Human Genome Project.
It's only a slight exaggeration to say that the foreign policies of the eight candidates who will appear on stage in the latest Republican debate on Saturday night in South Carolina can be summarized as follows: the world is a mess, it is all Obama's fault and it will get better the moment I am elected as president.
IT IS only a slight exaggeration to say that José de San Martín has become the forgotten man of South American independence.
