A combination of the words "Drinking" and "Chillin."
Monica Lewinski: Hey Bill! What are you doing tonight?
Bill Clinton: Not much, just drillin at the crib. If you come over I'll flick your bean.
Irrepressibly attractive; Sexier than real life; an attraction so intense it causes physical pain.
That girl is DRILLIN holes through my brain, man.
My shorty is drillin harder than a dentist.
Where's my snare? I'M DRILLIN hard.