The phrase "a big stamp on" is correct and usable in written English.
It can be used to indicate a significant impact or influence that something has on a situation or context.
Example: "The new policy put a big stamp on the company's approach to sustainability."
Alternatives: "a significant mark on" or "a major influence on".
"I think 'Brideshead' put a big stamp on my career," Mr. Irons said.
But it happened and I think it made a big stamp on Gloria".
I've read too many magazines where they have put a big stamp on it [your picture] saying 'Don't!' It's like saying, 'Judge my butt, judge my dress, judge my hair.' I'd probably trip anyway.
I live in a country that protects its establishment so much that someone like me is nothing to them – I am just like a little ant, and they are like a big elephant stamping on a little ant.
But it was Howard who put the biggest stamp on the rally.
Docol is just one of the countless spots of concentrated misery across Somalia, where people come after they have lost everything -- their animals, their homes, sometimes even their children, in the hopes of getting a sack of donated grain, which often has a big "USA" stamped on it.
He plays with the word "fail" as a popular new interjection on the Web, and he likes it: "It evokes a faceless authority passing judgment, and summons up an image of a big rubber stamp coming down on a test or report".
New Leaf is a world on a cartridge slightly bigger than a stamp, one full of beautiful, wise and hopelessly optimistic observation of humans as social animals.
Perhaps it's the thought of "summarizing" yourself in 650 words (an impossible task) or the vision of a grumpy, elbow-patched, pipe-smoking admissions officer reading it and wielding a big red REJECT stamp on your work (real life is not this dramatic).
"I think you need a big red stamp," she said.
