Yes, swung is a Scrabble word!

Verb

1. Move in a curve or arc, usually with the intent of hitting

2. Move or walk in a swinging or swaying manner

3. Change direction with a swinging motion; turn

4. Influence decisively

5. Make a big sweeping gesture or movement

6. Hang freely

7. Hit or aim at with a sweeping arm movement

8. Alternate dramatically between high and low values

9. Live in a lively, modern, and relaxed style

10. Have a certain musical rhythm

11. Be a social swinger; socialize a lot

12. Play with a subtle and intuitively felt sense of rhythm

13. Engage freely in promiscuous sex, often with the husband or wife of one's friends