A play on the term "Food stamps. Referring to when women go on dates with men solely for the free meal and drinks.
Dude stamps can refer to a girl's tinder matches, as if she's collecting free meals.
Olivia: "I got like 7 dates lined up this week."
Bella: "Nice work with the dude stamps, girl!"
Olivia: "Thanks, I'll make sure to order a bunch of extra expensive food so you can have some leftovers!"
"Dude Stamps" is a play on the term "Food Stamps". It represents women who go on single dates for free drinks, dinner and the leftovers the day after etc... The ability to sustain a lifestyle with random males footing the bill of numerous things to gain the female in questions favor. The best analogy would be "boyfriend welfare".
I totally used dude stamps to get my oil changed for free today.