The phrase "a compelling hold" is correct and usable in written English.
It can be used to describe a strong or persuasive grip, influence, or attraction that something has over someone or something.
Example: "The novel had a compelling hold on its readers, drawing them into the story with every page."
Alternatives: "a strong grip" or "a powerful influence."
While popularity functions stress the influence of the economy, the institutional nature of the American presidency prompts the hypothesis that foreign policy has a more compelling hold on presidential approval.
The other books in the category include Sally Mann's compelling Hold Still, which traces the photographer's life and artistic influences right up to the present day.
Russell and Lauryn Mark aren't the retiring sort – Russell controversially cites sleeping pills as vital to his performance, while a bikini-clad, gun-toting Lauryn posed on the cover of Zoo – and it is this compelling hold on the public imagination which they think has angered Aussie Olympic bosses.
The latter lacks a compelling cause held in common.
It is tough in those circumstances to find the variation of light and shade to make a speech compelling, to hold an audience, but this is an extraordinary performance - a shaft of light that illuminates the darkness through which he lived.
It provided that a free exercise claim would prevail unless the government could show a "compelling" reason for holding a religious group to the same legal requirements that applied to everyone else.
In addition to requiring a compelling reason for detention, we held that the class of persons affected must be narrow and, in pretrial-type lockup, the time must be no more than what is reasonably necessary before the merits can be resolved.
Though the primary race seems oddly quixotic, it still holds a compelling logic for each candidate.
I like tits.'" It's a compelling argument but it holds no truck with Jess.
Writing for the majority, Chief Justice William Rehnquist acknowledged that the government could override a group's associational rights in order to promote a compelling state interest but held that courts should defer to a private group's view of what might interfere with its constitutionally protected expression.
