The phrase "sets a new precedent" is correct and usable in written English.
You can use it to refer to when someone or something does something for the first time that sets an example for others to follow. For example: "The new law sets a new precedent for future environmental regulations."
"This sets a new precedent that the debt limit will not be taken hostage going forward," said Sen. Charles E. Schumer (D-N.Y.).
"This decision sets a new precedent," said Gabriela Rodriguez Huerta, a professor of international law at the Autonomous Technical Institute of Mexico.
Having passed through several different studios over its 15-year development, sci-fi comedy Duke Nukem Forever sets a new precedent for how too many cooks really can get busy with the spoilage.
"This is a ground-breaking deal, which sets a new precedent for acquiring content that can live on both digital and linear platforms, while identifying opportunities outside of the traditional distribution models," David Ellender, the global chief executive of FremantleMedia Enterprises, said in a statement.
If a simple majority votes to overrule the chair, it sets a new precedent.
The Marco Marco label sets a new precedent with the debut of its Collection Seven line.
Binance has set a new precedent for doing things, and is continuing to innovate with news of their decentralized exchange coming soon.
For Europe, Orban is setting a new precedent.
The Great Exhibition set a new precedent by inviting other nations to participate too.
"It feels like there's still an open opportunity to set a new precedent for social search," Ms. Etlinger said.
Generally, this approach is impractical — which is why I suspect the conservatives did not want to set a new precedent.
