I have done this. Last year there was a span where i didn't do fap for about 2 months in a row from what I recall, maybe it was almost 3 months, I can't remember exactly but I do know it was at least 2 months.
The results I got were not what I was hoping for. I was hoping I could get more attractive women in my life because pretty much all of the women I've slept with weren't exactly good looking, but not fapping did not help me get with any hot women.
It did help me try to get laid a lot more, but that didn't turn out to be a good thing. It didn't help me approach girls more in person, but instead I went on this online dating run type of thing, I was messaging 20 different women in online dating sites a day for a few weeks during this no fap thing.
I did get more dates but these women weren't really my type, as usual, which wasn't much different than before the no fap thing.
After 70 days or whatever it was I finally called it quits and just decided to go back to fapping every other day. The reason I went back was because of sexual frustration. It wasn't worth it. There were dates where I went to see a girl and when the date was over if I didn't get sex I would become frustrated. Why? Because I knew I couldn't fap, haha.
It got really bad, like torturous. I would lie in my bed at night and want to fap so bad that I would become depressed. It was when that depression kicked in every day that I had to stop the no fap thing.
It does make you more "pure." And I do agree that it makes you think more sharply and it is an excellent motivator for going out and socializing to people, not just women. The problems are it leads to even more depression, frustration and it makes you care about getting laid too much, as opposed to just wanting to go talk to people just to make friends.
I realized from the whole thing that you don't need to not fap to help you get out and socialize. It's a matter of personal desire whether you want to change or not.
Do i recommend no fapping? My answer to that is to do whatever it takes to change yourself. Don't become dependent on whether you've fapped or not today.