Lucy continues her develop into the strip's primary villain.
We haven't had a huge amount of Snoopy/Linus interaction so far. In coming strips, a major point of contention with them is Linus' blanket, so this strip kind of foreshadows that.
We get that weird look from Linus again in the second panel. It looks a lot like he's pining for a pacifier.
In the third panel, Linus and Snoopy share a single 'Z' balloon. I may be wrong, but when two characters are asleep near each other I believe they tend to get separate Zs. I'm unsure whether I should look for deep meaning in their commonality of snoring, however.