Absolutely, kids! Shlomo HaMelech told us in his sefer Mishlei [30:28] the lesson that we are supposed to learn from spiders:
שְׂמָמִית בְׂיָדַיִם תְׂתַפֵּש, וְׂהִיא בְׂהֵּיכְׂלֵּי מֶלֶךְ. -- משלי ל:כח
A spider captures with its hands, and it [lives] in kings’ palaces. -- Mishlei 30:28
What does the Mishlei mean by saying that a spider is “in kings’ palaces?” It teaches us that even though a spider that crawls on a floor of a king’s palace can find many goodies from the delicacies that fell on a floor from a king’s table, it does not want to partake in them. It prefers to toil for its food with its own strength and skills that Hashem granted to it - to create a web and catch flies. [based on the commentary of the Metzuda on Mishlei]
Zeidy – everyone despises the spiders. They look scary and they add to dirt in a house. But is there anything good that we can learn from spiders?