The phrase "a recurring presence" is correct and usable in written English.
It can be used to describe something or someone that appears repeatedly or consistently in a particular context or situation.
Example: "In the novel, the ghost serves as a recurring presence, reminding the characters of their past mistakes."
Alternatives: "an ongoing presence" or "a constant presence".
Michael Strecker is a recurring presence, dressed as a lifeguard in red trunks and rubber swimming cap.
Leda, the Greek nymph seduced by Jupiter in the form of a swan, is a recurring presence.
A slim, elderly woman, with close-cropped hair that suggests a serious illness, is a recurring presence.
Berry has been a recurring presence in the funniest shows of the last decade, from Garth Marenghi's Darkplace to The IT Crowd.
Bo Dietl, a former New York City detective turned media personality, was a recurring presence, a reliable source of cynical and racist laugh lines.
The author Peter Biskind, a recurring presence in "Unauthorized," was responsible for "Down and Dirty Pictures" in 2004, a far more sensational study of Mr. Weinstein's behavior.
"I've only broken down and cried once," Mr. Gethard (pronounced GETH-erd) said in May of his first starring role — really, the first television show on which he will have any recurring presence.
In Meyrink's hands, the Golem becomes a strange recurring presence, a being which manifests in Prague every 33 years.
The recurring presence of a single motif – Ricardo's golden shoes – adds another level of playfulness to the conceit, although what the shoes signify other than his flamboyant style is anyone's guess.
Others are thematic: an investigation and recreation of memories – he grew up the son of doctors, hence the frequent presence of hospitals and medical procedures in his films; reincarnation and the spirit world regularly invoked for its metaphoric value; the recurring presence of the military as a symbol of power and control.
One recurring presence in the report, weaving through a crowd of potential panics and crises that, according to its assessment, he has made more probable, is a figure who is planning to elbow his way through the halls of Davos itself: President Donald Trump.
