If you are talking about Arachne from the greek myths, I can give some.

1. Hard work
From the challenge of being a regular peasant, she worked hard to earn attention for her famous weaving.

2. Humility
This is obvious. Since Arachne was too smug, Athena punished her greatly. She then was filled with shame. This teaches you to be humble.

3. Acceptance
She had to accept that she was not to win against Athena. Though her tapestries were better, Athena was still a goddess and would make her perish from the humiliation of being beaten by a mortal.