In addition to "Invite a Friend," I believe you can "refer" someone to this site just by emailing/calling and suggesting that they join. When they register, I think there is a place for them to specify the handle of the person who referred them to the site. If they specify when registering that you referred them, it adds to your "referral" count on your profile. If they don't, you don't get referral credit, which is why "Invite a Friend" is a more sure way of getting credit. It may also simplify the registration process for them; not that you're vouching for them necessarily, but they can probably just click on a link in the invitation email they get to go directly to the registration page.
However, to my knowledge there is no benefit for guys who refer others to the site, similar to what Chica Chaser describes as a benefit for the ladies who refer others to the site. In which case, just suggest it to anyone who you think might enjoy it and don't worry about whether you get credit.
I apparently have credit for 8 referrals, although I don't recall recommending ECCIE to anyone, let alone using "Invite a Friend." Hopefully the "referrer" is not accountable in any way for those he/she referred, since I wouldn't even vouch for myself, let alone others.
Of course, I'm old and senile so maybe I did recommend/invite and just don't remember.