Yes, ADSCRIPT is a Scrabble word!

Letter values in Scrabble US: A 1, D 2, S 1, C 3, R 1, I 1, P 3, T 1.

Is it a valid word?

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

written or printed immediately following another character and aligned with it
(used of persons) bound to a tract of land; hence their service is transferable from owner to owner

Not playable in Scrabble US: ADSCRIPTED.