My 1st thought for a parallel was the “four who entered the Pardes.”
“The fact that Icarus flew too close to the sun so his wings melted and then he fell to the sea and drowned reminds of the danger of flipping out in yeshiva.”
In this comparison, it appears that the sun represents Torah, and getting too close to it is a problem. I cannot approve of this.
Also, in this context, as in the case of Nadav va’Avihu, coming too close to something (in a certain manner) is dangerous, and that thing itself is the goal. In the myth, the sun is not Icarus’ goal – it is simply a hazard which happens to be present. Keep that in mind.