According to dictionary.com, to "Phub" is:
verb (used with object), phubbed, phubbing.
1. to ignore (a person or one's surroundings) when in a social situation by busying oneself with a phone or other mobile device: Hey, are you phubbing me?
I hate to see a mother wheeling a stroller while phubbing her baby.
verb (used without object), phubbed, phubbing.
2. to ignore a person or one's surroundings in this way.