The Great gatsby, pleasant significance

I'd like to know the meaning of "significance" in the following excerpt from the chapter three of The Great Gatsby; does it mean "importance" or "meaning", "signification" or both of them?

I wanted to explain that I’d hunted for him early in the evening and to apologize for not having known him in the garden.

“Don’t mention it,” he enjoined me eagerly. “Don’t give it another thought, old sport.” The familiar expression held no more familiarity than the hand which reassuringly brushed my shoulder

Thank you.