It is correct and usable in written English.
You can use it when you want to say that something takes an existing form. For example, "The new website design took its form from a classic template."
The subject of the movie is marriage that couldn't speak its name or take its form, because a marriage is precisely the creation of a new family — which brings with it a range of legally defined rights and responsibilities.
The Shelton was one of the first buildings to take its form from a 1916 zoning law that required setbacks at certain heights to ensure light and air to the street.
So in some weird but true way, the Abolitionist Movement, just like the Civil Rights Movement after it, is a very relevant part of the story of how American Capitalism came to take its form, i.e. without rampant reliance on highly efficient slaves nor wide-spread employment of business establishments that cater to the preferred shopping experience of white racists.
Mr. Wagener said it took its form from dolphins.
It originated as a folk dance in Poitou, but as a court dance it took its form from the courante.
"Treme," the marvelous, musical New Orleans-set HBO drama whose second season began April 24, takes its form from the city's substance; it does not so much present a point of view as embody a perpetual argument.
It loosened up lots of ways that the final book took its form.
Rather, self-shaping takes its form from versions of social identity made livable by the culture.
A ridged knob on the watch's right side — the Digital Crown — took its form, and its name, from traditional watchmaking.
I am for an art that takes its form from the lines of life itself, that twists and extends and accumulates and splits and drips, and is heavy and coarse and blunt and sweet and stupid as life itself".
Writers like their rituals, and almost always, as I carry the mug from the kitchen to the dining table I write on, the first sentence of the morning takes its form.
