Yes, DRESSER is a Scrabble word!

Letter values in Scrabble US: D 2, R 1, E 1, S 1, S 1, E 1, R 1.

Is it a valid word?

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

furniture with drawers for keeping clothes
a person who dresses in a particular way
a wardrobe assistant for an actor
low table with mirror or mirrors where one sits while dressing or applying makeup
a cabinet with shelves

Also: chest of drawers, actor's assistant, dressing table, toilet table.