Milichigs on Shavuos Represents Teshuvah
The Gemara (Shabbos 89.) states that after matan Torah, the Satan went to Hashem and asked, "Where is Your Torah"? Could it be that the Satan didn't know of matan Torah? When Hashem gave the Torah, His Shechinah came down onto Har Sinai, and Hashem opened all seven heavens, and the entire world knew about it. The malachim gave presents to the Jewish nation, and even the Satan gave a gift to the Jewish nation. So, why did he ask, "Where is Your Torah?"
My grandfather, Rebbe Moshe Mordechai of Lelov zt'l answers that the Satan’s question is directed to the Jewish nation, and he asks the question every year to every Yid. He asks, "You received the Torah a year ago. Where is that Torah that you received? It doesn't seem that you are studying it or keeping its mitzvos." With these words, the Satan tries to discourage the Jewish nation. But we must know that we can always do teshuvah. We can repent and improve. This year, we can truly receive the Torah.
Most foods ruin when they spoil, but milk becomes an even better product when it spoils—it becomes cheese. On Shavuos, we eat cheese and milk products to remind ourselves that even if one sinned and spoiled his ways, he can always do teshuvah and receive the Torah.
Wine takes time and effort to prepare. The same is with oil. But milk is immediately available. One milks an animal, and there is milk. We eat milk and milichigs on Shavuos to remind us that Torah is readily available. זוית בקרן מונחת תורה, the Torah is in the corner, and whoever wants to can come forward and take it, study it, and acquire it.
The letters of ב"חל, spelled out in full, are ת"בי ד"למ ת"חי, and if we look at solely the מילוי, the letters added (without the primary letters ב"חל), the letters spell the word ת"תמידי. This hints that to succeed in Torah, one must study תמידית, constantly. With לתורה עתים קביעת, setting time for learning Torah, and studying Torah every day, one can excel and grow in Torah.