"get lost in time" is correct and usable in written English.
It is an idiom that is usually used in the context of nostalgia or longing for the past. For example: "I love listening to old records - they make me feel like I'm getting lost in time."
Scorpius tells Albus that if he had to pick one person to get lost in time with, he's choose him.
She said that she often liked to go there because it gave her an opportunity to get lost in time while being surrounded by the magnitude of old French culture.
We often think of a flow state as something to be achieved when you're working on a project, you hope you find a rhythm and get lost in time.
A pedestrian, wandering the West 30's, can get lost in time, dodging rolling racks of clothes while gazing through the storefronts of wholesale showrooms, glancing at the button and spandex emporiums and wondering at the whirligig activity in the hidden upper floors of the squat and dingy buildings.
"The quality and the idiosyncrasies of a painting can get lost in time through the accumulation of dirt; varnishes turning yellow and brown; and through over-paint [during restoration] which can cover the defining brush strokes that will attach a work of art to an artist".
Better still, let's hope the whole project ends up getting lost in time (as Roy Batty would say) like tears in rain.
Their first attempt at time travel proves disastrous, and Dak's parents get lost in the time stream.
Jenny is far too shy to do the tumba rumba, sitting forlornly on the sidelines as her pals get lost in the music: "Time is nothing to a cat when he is dancing".
The Gladiators' tale is the kind that can get lost in a big-time sports town like New York.
