Yes, very is a Scrabble word!
...and is worth 10 points in Scrabble, and 10 points in Words with Friends
very
Adverb
1. Used as intensifiers; `real' is sometimes used informally for `really'; `rattling' is informal
2. Precisely so
Adjective
1. Precisely as stated
2. Being the exact same one; not any other:
What Scrabble words can I make with the letters in very?
3 Letter Words
2 Letter Words