According to Rabbeinu Bechaye, an important characteristic that is learned from Pinchas, is זריזות, or alacrity.
Pinchas taught us how to observe the Mitzvot with enthusiasm and excitement. He was highly motivated in his serving Hashem, and this trait is to be emulated.
In מסילת ישרים written by the Ramchal, he also talks about זריזות as a form of how to do the Mitzvot. Before reaching the level of זריזות, he must first practice זהירות, or caution. The זהירות is meant for the individual to take care not to violate a negative commandment. And זריזות reflected the enthusiasm we are to show in observing the positive commandments.
We are not meant to allow ourselves to reach a level of complacency. We are to remind ourselves constantly of Hashem’s abundant gifts. When we do this, it allows us to show gratitude by observing Hashem’s Torah with the זריזות taught by Pinchas.