Answer:
A precious gift, yet it has no end, no beginning, and nothing in the middle.
Spies and detectives do this to phones and musical shoes make this sound.
I occur twice in eternity. And I'm always within sight.
A person who chews the ends of their fingers
They keep secrets locked away. And you pass through them each day. For each one there is a key, They respond to sesame.
A leathery snake, with a stinging bite. I'll stay coiled up, unless I must fight.