The traditional answer would be a child's pacifier.
Another answer would be a child's 'comfort' item such as a blanket or favorite toy.
In this draft forum, it refers to a player/prospect that has become a favorite of that particular poster.
Binky
A childish comfort. Another term for their "blankey". Something they feel very dear to them. Nothing will tear them apart. In my case a 3-foot long strip of yellow satin. One of two that I ripped off a blankey when I was five.
Urban Dictionary: Binky
You're setting yourself up for rage, tears, and heartbreak if that's the attitude you're bringing into a BB draft.
Here are a few things to expect:
1. BB passes on your favorite player/binky
2. BB drafts a complete unknown forcing you to scramble onto google to figure out who the heck that kid is we just took.
3. Lots of rage, angst, and tears on draft day.
4. Slow acceptance and some come around.
5. Some fans have to be talked off the bridge.
6. Some never get over the rage and make posts full of poison and rage.
7. Finally some fans get over it and realize it's just a typical BB draft. Mayock and Kiper's projections mean nothing.