Yes, closer is a Scrabble word!

Adverb

1. (comparative of `near' or `close') within a shorter distance

Adjective

1. At or within a short distance in space or time or having elements near each other

2. Close in relevance or relationship

3. Not far distant in time or space or degree or circumstances

4. Rigorously attentive; strict and thorough

5. Marked by fidelity to an original

6. (of a contest or contestants) evenly matched

7. Crowded

8. Lacking fresh air

9. Of textiles

10. Strictly confined or guarded

11. Confined to specific persons

12. Fitting closely but comfortably

13. Used of hair or haircuts

14. Giving or spending with reluctance

15. Inclined to secrecy or reticence about divulging information

Noun

1. A person who closes something

2. (baseball) a relief pitcher who can protect a lead in the last inning or two of the game