leave your mark
or leave a mark
COMMON If someone or something leaves their mark or leaves a mark on someone or something, they change them or have a lasting effect on them. He now has five more years in office and would still dearly like to leave his mark on the world. I lived abroad, in Asia, for four years, and this is an experience that tends to leave its mark. Hani left an indelible mark on the politics of South Africa.
make your mark
or make a mark
COMMON
1. If you make your mark or make a mark, you do something which causes you to become noticed or famous. Today we look at the new generation of Japanese directors making their mark in world cinema. She's only been with the company for three months but she's certainly made her mark. He was new to politics and had not yet made a mark.
2. If something makes its mark or makes a mark, it starts to be noticed or to have an effect. The film has already made its mark in terms of awards. If cricket ever made a mark in the United States, it would be guys like Bevan who would sell it.
Collins COBUILD Idioms Dictionary, 3rd ed. © HarperCollins Publishers 2012