I would name a yoyo The Exile. Would love to name one the Exodus, but Yomega already make the Xodus.
ConFlict
I would name my yo-yo Tết in honor of the Vietnamese new year :). If anyone here is Vietnamese Chúc Mừng Năm Mới!
Fido, of course! As often as I’m asked to walk the dog there couldn’t be a more appropriate name! ;D
The inferno Cause it sounds cool and I like saying it 
Bob
The yoyo which talks.
Or Bob
That One Yoyo
The Atomic Pilgrim
The Lepus.
Back in the day some would fur out their sportbikes that may have cracked fairings from stunting. Get a cracked plastic and fur it out with rabbit fur. (cue evil Elmer Fudd laugh)
Famous
I think it’d just sound good. “Which one is that?” “Oh this? The Famous.” 
I’d call it… A computer.