The answer to "neck is to scarf" is "waist is to belt." Just as a scarf is worn around the neck, a belt is worn around the waist.
Typically, an ascot is worn around the neck.
necklace
tie
scarf
a tie
tie
A wimple is a cloth which covers the head and is worn around the neck and chin, worn by nuns in certain orders.
A Bandana
A necklace
boy
The Boa Constrictor... The article worn around the neck is called a 'feather boa'.