Yes, SPINDLE is a Scrabble word!

Letter values in Scrabble US: S 1, P 3, I 1, N 1, D 2, L 1, E 1.

Is it a valid word?

SPINDLE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

(biology) tiny fibers that are seen in cell division; the fibers radiate from two poles and meet at the equator in the middle
a piece of wood that has been turned on a lathe; used as a baluster, chair leg, etc.
any of various rotating shafts that serve as axes for larger rotating parts
a stick or pin used to twist the yarn in spinning
any holding device consisting of a rigid, sharp-pointed object