Rebbe Leibele Eigar zt'l taught that the letters that make up the word רפואה can be divided into two words: פה אור. There is another word for healing. It is ארוכה. This word can also be divided into two words, ה"כ אור. This hints that on the 25th of Kislev, when we light Chanukah lecht, refuos begin to come to Klal Yisrael.
I heard from a chashuve Yid from England that fifty years ago, in the summertime, his wife gave birth to a girl, but the child was born without a stomach, r"l! The doctors informed him that she would live no longer than a day or two. When he heard this, he decided to name his daughter quickly. He told Rebbe Itzikel of Pshevorsk (Belgium) zt'l that he wants to give a name quickly because of what the doctors told him. The Rebbe advised him not to rush, and he should wait until Shabbos to name the child. The father tried explaining to Rebbe Itzikel the gravity of her situation and that the doctors don’t expect her to survive until Shabbos, but Rebbe Itzikel wouldn’t budge. And, indeed, the child was named on Shabbos.
The medical team tried feeding her, but whatever they gave her, she spat up. She couldn't hold down food, but surprisingly, and miraculously, she was still alive. Every moment she lived with miracles beyond nature.
This went on until the first day of Chanukah. On that day, a doctor told the parents that a miracle had occurred, and he had no way of explaining it medically. The child is beginning to develop a stomach. It started very small, but something was improving. "Perhaps there is hope," the doctor said. The day that we light the אור, the doctors began to see עור, a skin membrane, growing in the girl's stomach, the beginning of a stomach. Two weeks later, the stomach was clearly there.
Later that year, on Rosh chodesh Nisan, the parents went to Rebbe Itzikel, and they wrote their daughter's name in the kvitel. The Rebbe said, "When the girl was born, and I spoke with the father, I understood from the father that it was impossible for the girl to survive. Therefore, I waited until there was an eis ratzon, the first night of Chanukah, and I pierced the heavens with my tefillos until I felt that I brought a yeshuah for this girl." When the mother heard this, she fell and fainted, because it was exactly on that day, the first day of Chanukah, that the membrane began to grow in their daughter's innards. They told the Rebbe that it was indeed that day that the miracle occurred, only they hadn’t realized the significance of the timing until then.
I heard from a Yid from chutz l'aretz, a story that happened to him. Four-and-a-half years ago, doctors found a very rare disease in two of his sons, r'l. Many askanim were called, and they sought a cure for this illness, but the illness was so rare, no refuah was known. Erev Chanukah (א"תשפ) the father heard about the segulah of refuos that come from Chanukah, and especially from the first night of Chanukah. With emunah sheleimah, on the first night of Chanukah, he poured out his heart for the healing of his children. After Chanukah, another doctor became involved in their sons illness, and he recommended a certain medical approach. It worked! Today, there is almost no sign of the illness that had once been there. This isn't surprising, because on Chanukah, miracles beyond nature occur.
A father brought his infant son to the Ribnitzer Rebbe zt'l (when the rebbe was in Los Angeles for Chanukah). The father told the rebbe that his son was born prematurely and was placed in an incubator with a bandage over his eyes to protect him from the strong light. However, the bandage fell off, and the child became blind in both eyes, r'l. The rebbe stared forcefully at the Chanukah lecht, and then looked at the child. Then he looked again at the Chanukah lecht, and once again, at the child. After repeating this several times, the rebbe announced, "Baruch Hashem, the child sees with his right eye." The rebbe continued looking at the lecht and then at the child, and then said, "The child still doesn’t see with his left eye, but eventually he will." Twenty years later, the rebbe received an invitation to the chasunah of this child, who saw well with both eyes.
A hint is from the tefillah פרקן יקום (which we say on Shabbos). It states there ונהורא גופא בריות מעליא, "Health for the body and a divine light." We understand that when we have the "divine lights" of Chanukah, there will be health. Furthermore, חנוכה נר להדליק is gematria מלך נאמן רופא.
Chanukah is also mesugal for parnassah and wealth. The Chiddushei HaRim zy'a (quoted in Sifsei Tzaddik, Chanukah, 3) explains the pasuk (Mishlei 3:16) עשר בשמאולה בימינה ימים ארך וכבוד, "Length of days is in its right hand; in its left hand are riches and honor." The left hints at the Chanukah lecht which are lit on the left side of the entrance. From this mitzvah comes riches and honor.
