Like an Eskimo kiss, but when giving oral sex in 69 form, rubbing one's nose on the jewel-encrusted butt plug of their partner. Specifically if it is a white clear jewel imitating diamond (hence the ice). Depending on the sex and flexibility of both the Eskimo ice performer and recipient, a break may need to be taken from the deed of oral sex itself in order to make such an act possible.
Dude, we were having such a great night until she got startled and farted when I accidentally Eskimo Ice-d her.