Imitate the palm, so that it may be said also to you, “Your stature is like a palm tree.” Preserve the verdure of your childhood and of that natural innocence of youth which you have received from the beginning, and may you possess the fruits, prepared in due time, of what was planted along the course of the waters—and may there be no fall to your leaf!…
Remain, therefore, planted in the house of the Lord so as to flourish like a palm in his halls, whence the grace of the church may ascend for you and “the odor of your mouth may be like apples and your throat like the best wine,” so that you may be inebriated in Christ. - "Six Days of Creation 3.17.71"
The laurel and palm are emblems of victory. The heads of victors are crowned with laurel; the palm adorns the victor’s hand. Hence the church, too, says, “I said: I will go up into the palm tree, I will take hold of the heights thereof.” Seeing the sublimity of the Word and hoping to be able to ascend to its height and to the summit of knowledge, he says, “I will go up into the palm tree.” So he may abandon all things that are low and strive after things that are higher, to the prize of Christ, in order that he may pluck its fruit and taste it, for sweet is the fruit of virtue. - "Six Days of Creation 3.13.53"
The church is beautiful in [those recently baptized]. So that God the Word says to her: “You are all fair, my love, and there is no blemish in you,” for guilt has been washed away. “Come here from Lebanon, my spouse, come here from Lebanon, from the beginning of faith you will pass through and pass on,” because, renouncing the world, she passed through things temporal and passed on to Christ. And again, God the Word says to her, “How beautiful and sweet are you made, O love, in your delights! Your stature is become like that of a palm tree, and your breasts like bunches of grapes.” - "On the Mysteries 7.39"
I will offer my beloved praise, and his turning will be toward me. What it calls his turning is either the second advent or the conversion of the Jewish people. - "Fragments in the Commentary on the Song of Songs 7.10"
Turning. The Church is submissive to Jesus Christ, and is entirely actuated by his Spirit. (Calmet)
She takes the words, as it were out of his mouth, (ver. 9.) and answers, worthy, acknowledging that all the praise belongs to him.