This fluffy and friendly brand name is based on the word "fuzzy".
The word "fuzzzy" contains only six characters and only two syllables. Two syllable names make popular global brands. Successful brands using two syllable names include Buffer, Sony and Pocket.
Fuzzzy.com is a dot-com domain. Dot com domains are the most valued domain extension in the world, famously used by websites like google.com. Owning a dot-com says that you own the word "fuzzzy" online.