Yes, WANDERS is a Scrabble word!

Letter values in Scrabble US: W 4, A 1, N 1, D 2, E 1, R 1, S 1.

Is it a valid word?

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

move about aimlessly or without any destination, often in search of food or employment
be sexually unfaithful to one's partner in marriage
go via an indirect route or at no set pace
to move or cause to move in a sinuous, spiral, or circular course
lose clarity or turn aside especially from the main subject of attention or course of argument in writing, thinking, or speaking

Also: cheat on.