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stamp on (someone or something)
1. To bring down one's foot upon someone or something very forcibly or viciously. He stamped on the burning papers, trying to extinguish the flames. The group of assailants kicked and stamped on the poor man until he was unconscious.
2. To imprint or impress some label, mark, words, or design on someone or something. In this usage, a noun or pronoun is used between "stamp" and "on." At the final stage of manufacturing process, a machine stamps the company's logo on the bottom of each toy on the assembly line. The assessor stamped the word "DENIED" in big red letters on the person's application. The bouncer stamped symbols on us as we entered the club so the bartenders would know whether they could serve us drinks or not.
stamp something (up)on someone or something
to affix an informative label onto someone or something, as with a rubber stamp. (Upon is formal and less commonly used than on.) The attendant stamped a date upon each person who entered the dance hall. The person at the door stamped something on my hand when I came in.
stamp on someone or something
to strike down hard on someone or something with the bottom of the foot. The attacker stamped on his victim after he had knocked him down. Walter stamped on a spider.