Yes, ASTRINGENCY is a Scrabble word!

Letter values in Scrabble US: A 1, S 1, T 1, R 1, I 1, N 1, G 2, E 1, N 1, C 3, Y 4.

Is it a valid word?

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

a sharp astringent taste; the taste experience when a substance causes the mouth to pucker
the ability to contract or draw together soft body tissues to check blood flow or restrict secretion of fluids

Not playable in Scrabble US: ASTRINGENCE.