"spoke of the time" is grammatically correct and can be used in written English.
It means that someone mentioned or talked about a specific point in time. Example: During our conversation, she spoke of the time when she first met her husband.
Mr. Catsimatidis spoke of the time his daughter's cockatiel flew the coop and was rescued by firefighters.
As she showed me around the winery's fermentation and bottling equipment, she spoke of the time she'd spent learning her craft in the Rhône Valley.
Though Hillary was not available to be interviewed for this article (Maggie Williams spoke of the time pressure on Hillary's schedule), I was, oddly, allowed to speak to the President for a total of nearly two hours.
They spoke of the time a few weeks after that when a Polish family (not the Siejaks) turned up and told the Mantheys that their farm no longer belonged to them.
In his book "The Powers That Be," David Halberstam spoke of the time in the 1960's when Dorothy Chandler, doyenne of the family that owned The Los Angeles Times, then a conservative Republican paper that Jews looked on with disapproval, tried to bridge the gap between downtown and west Los Angeles.
What is bravery, and what is bravado?" Colvin spoke of the time in 2001 when she lost an eye, after being injured by shrapnel during an ambush in the Sri Lankan civil war, and said: "Many of you here must have asked yourselves - or be asking yourselves now - is it worth the cost in lives, heartbreak, loss?
She was speaking of the time they first ventured out of the bakery into catering for weddings and local dances.
Even now, four decades later, she said she could hardly speak of the time when her life had been stolen.
"Fifteen years ago," Colonel Thompson said, speaking of the time Mr. Philpott came here and spoke to him for several days, "I can't talk right".
"Actually, I can tell you that the queen was pretty upset that there was no way to arrest him," he blurted out, speaking of the time some years ago when Mr. Hamza was still operating freely at the mosque.
"Even my father has told me to keep a low profile," says Nazifa, speaking of the time when the association found out that its website was being monitored by an NYPD officer.
