from Fancyclopedia 2 ca. 1959
A fannish verse-fad set off, like many of our gags, by a stfyarn. Cuddlypets were animals tamed by artificial stimulation of their affection-centers, but the thing that fans went for was the advertising-verse used by salesmen of this peculiar merchandise. Below is a sample of a fannish adaptation.

from Fancyclopedia 2 Supplement ca. 1960:
The creatrix of the horrors was Evelyn Smith.

Lately Cuddly-Crocodile
Rivals Cuddly-Lion in style;
Modern fashion doesn't bar
A Cuddly-Tyrannosaur!