Yes, more is a Scrabble word!

Adverb

1. Used to form the comparative of some adjectives and adverbs

2. Comparative of much; to a greater degree or extent

Adjective

1. (comparative of `much' used with mass nouns) a quantifier meaning greater in size or amount or extent or degree

2. (comparative of `many' used with count nouns) quantifier meaning greater in number

Noun

1. English statesman who opposed Henry VIII's divorce from Catherine of Aragon and was imprisoned and beheaded; recalled for his concept of Utopia, the ideal state