The phrase "a constant concern of" is correct and usable in written English.
It can be used to express that something is a persistent worry or issue for someone or a group.
Example: "Environmental sustainability has become a constant concern of our community as we strive to protect our natural resources."
Alternatives: "an ongoing worry for" or "a continual issue for".
Ms. Ali said their 15-year-old son, whose nickname is Sadi, is slightly overweight, a constant concern of Mr. Ali.
Roads were widened in the 1990s in a vain attempt to ease traffic flow, leaving far narrower pavements: this also made it harder for large numbers of people to gather, public meetings being a constant concern of the paranoid regime.
Talk of love surrounds us, and romance is a constant concern of popular culture.
Optimizing the solubility and hence their basic colloidal characteristics has been a constant concern of researchers in this area.
Hence, maintaining the quality of the stored water and identification and examination of changes along time has been a constant concern of humans that involves the water authorities.
A constant concern of tutors, consultants and, in general, educational institutions offering education in e-learning mode is related to how students acquire, analyze and share knowledge.
But overcrowding has been a constant concern on sought-after peaks because of limited space on popular routes and short "weather windows" when conditions allow climbers to reach the summit of mountains.
In order to accelerate the interest in the cultivation of this crop, a constant concern for quality of seeds, and in particular a constant search for ways to improve the resistance of flax should be considered.
The threat of terrorism is a constant concern for Parliamentarians - it's not new.
Further complicating the president's choices is the murky nature of the evidence against Syria, a constant concern because of the lingering memories of mistaken intelligence on Iraq's weapons a decade ago.
That sense of insecurity fosters a constant concern often reinforced by fear of night raids, home demolitions, loss of territory, and administrative detention, among others.
