Yes, TEETERS is a Scrabble word!

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

Is it a valid word?

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

a plaything consisting of a board balanced on a fulcrum; the board is ridden up and down by children at either end

Also: teeter-totter, tilting board, dandle board.

Not playable in Scrabble US: TEETERTOTTER.