Yes, TRICLINIA is a Scrabble word!

Letter values in Scrabble US: T 1, R 1, I 1, C 3, L 1, I 1, N 1, I 1, A 1.

Is it a valid word?

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

a dining room (especially a dining room containing a dining table with couches along three sides)
a dining table with couches along three sides in ancient Rome