I am a woman in my 30s and I have never ever once in my life heard anyone else use the term "give it up." I am going to go out on a limb and say people just don't talk like that. Not the women I associate and have continued to associate with through my 20s and 30s.
And the real data might be surprising.
http://www.thedailybeast.com/articles/2012/02/21/why-men-are...
Rather than living up to the stereotype of commitment-phobic bachelors, modern men reported that they fell in love just as often as women, were just as likely to believe that marriage is “forever,” and scarcely bit when asked whether they'd prefer to “just date a lot of people.” But most shocking was how many of the single men wanted to settle down—and how willing they were to lower their standards to make that happen. A whopping 31 percent of adult men said they’d commit to a person they were not in love with—as long as as she had all the other attributes they were looking for in a mate—and 21 percent said they'd commit under those same circumstances to somebody they weren't sexually attracted to. The equivalent numbers for women were far lower.
the percentage of men saying "yes" to imperfect committment was actually highest among men in their 20s, almost 40 percent of whom said they'd commit without love (compared with 22 percent of women).