Answer:
A precious stone, as clear as diamond. Seek it out whilst the sun's near the horizon. Though you can walk on water with its power, Try to keep it, and it'll vanish within an hour.
I am the greatest teacher out of them all, but alas in the end I kill my pupils.
I always run but never walk, I sometimes sing but cannot talk, No head on which a hat to place, You always look me in the face.
As beautiful as the setting sun, as delicate as the morning dew. An angel's dusting from the stars. That can turn the Earth into a frosted moon.
In buckles or lace, they help set the pace. The farther you go, the thinner they grow.
If I say "everything I tell you is a lie", am I telling you the truth or a lie?