Yes, cage is a Scrabble word!
...and is worth 7 points in Scrabble, and 9 points in Words with Friends
cage
Verb
1. Confine in a cage
Noun
1. An enclosure made or wire or metal bars in which birds or animals can be kept
2. Something that restricts freedom as a cage restricts movement
3. United States composer of avant-garde music (1912-1992)
4. The net that is the goal in ice hockey
5. A movable screen placed behind home base to catch balls during batting practice
What Scrabble words can I make with the letters in cage?
3 Letter Words
2 Letter Words