Yes, BRANCHLET is a Scrabble word!

Letter values in Scrabble US: B 3, R 1, A 1, N 1, C 3, H 4, L 1, E 1, T 1.

Is it a valid word?

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

a small branch or division of a branch (especially a terminal division); usually applied to branches of the current or preceding year