HAN-S

This is HAN-S, a massaging bot on board the Axiom.

Wikipedia has this to say about the HAN-S bots: "Massage robots [are robots] that rub down passengers. One is overly energetic with little control over his flailing arms and befriends WALL·E."
The Second WALL·E disc has this to say about HAN-S bots:

"The Massagebot's Dual Stress-Reducing Vibrational Massages alleviate pain in three therapeutic settings: Swedish, shiatsu, and lomilomi. Due to pending litigation over performance malfunction, the Hot Rock mode has been disabled."

I think "HAN-S" is supposed to make you think of the name "Hans", which sounds like some bodygaurd dude's name. That or "Hands". Within the movie, the HAN-S with the red "reject bot" clamp acts like a boxer. Other HAN-Ses that we see in the film are in the live-action Axiom ad and in Captain McCrea's quarters.