Virtue includes chastity and is also related to charity.
All should practice virtue and holiness before the Lord, Doctrine and Covenants 38:23-25 and Doctrine and Covenants 46:33. We believe in being virtuous, Articles of Faith 13 and Philippians 4:8. "Let virtue garnish thy thoughts unceasingly," Doctrine and Covenants 121:45-46. "virtue loveth virtue," Doctrine and Covenants 88:40. Those with pure hearts will stand in holy places, Psalm 24:3-4.
To achieve the divine nature we need to have virtue, 2 Peter 1:2-9. Virtue is one of the requirements for missionary work, Doctrine and Covenants 4:5-6.
The value of a virtuous woman is far above rubies, Proverbs 31:10-31. "A virtuous woman is a crown to her husband," Proverbs 12:4.
Ruth is praised as a virtues women, Ruth 3:10-11. Emma is called an elect lady and is promised that if she walks in the paths of virtue will receive an inheritance in Zion, Doctrine and Covenants 25:2-3.
Decisions of Church leader need to include considerations of virtue, Doctrine and Covenants 107:30-31.
The women are to dress modestly, 1 Timothy 2:9-10. Paul is probably talking more about not being vain than showing off their bodies.