I believe, back in the 60's.......they were called Wish-Niks.
I had one, that if you pressed his belly, his Eyes and Nose would light up....and I believe his one tooth, as well.
We had an elderly , ancient neighbor back then, who still lived in the last honest to God, Log Cabin, on Staten Island, right across the Street from us.........and she thought it was just the most awesome , coolest thing....so I gave it to her. She took it with her to play Bingo, and showed all her friends, and then won that night. !
After that, she wouldn't let it out of her sight......and it became her good luck charm .