Yes, ASQUINT is a Scrabble word!

Letter values in Scrabble US: A 1, S 1, Q 10, U 1, I 1, N 1, T 1.

Is it a valid word?

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

(used especially of glances) directed to one side with or as if with doubt or suspicion or envy

Also: squint-eyed.