A adjective to describe someone who is cute (not in the sexual way) or duckyshun-like. Usually describes overweight/slightly chubby women, Disney characters or animals with fur and a 'squirilly' (as in squirrel-like) nature.
'Mad Madam Mim is so cudgy!'
'That duck is so cudgy'
Cute but edgy.
Boy1 : "Have you seen the math teacher's new hair cut?"
Boy 2 : "Yeah! It's cudgy!"