Why does it say "Imecha cha'Gefen"?
Rashi: Also this is part of the Kinah (lamentation).
What is the comparison to a vine?
Radak: Initially, Keneses Yisrael were like a fruitful vine with the first kings - David, Shlomo and the good kings after them. Imecha corresponds to Yisrael; the mother is the gathering. Also Yonason translates, when Yisrael do (fulfill) Torah, they are like a vine planted on a source] of water.
Malbim (1, 10): Hashem planted [Yisrael] in the ground - "Kerem Hayah li'Ydidi b'Keren Ben Shamen; ... va'Ykav La'asos Anavim" (Yeshayah 5:1-2). The grapes for which He hoped are Mishpat and Tzedakah. Now it discusses Malchus Tzidkiyah, who was a Tzadik. He is not compared to a tearing lion, rather, to a vine planted in the ground.
What is "b'Damecha"?
Rashi: It is an expression of Dimyon 1 (comparison). I.e. you are like one who mother was like a vine planted in water.
Radak #2: It is an expression of Dam, [a noun of two letters,] like Tzav and Kav.
Radak citing Rav Hai Gaon: Dam is natural moisture. Anything that comes out of another matter has a moist nature.
Radak #1: This is like bi'Dmusecha. [The Sov is omitted,] like "v'Tzura Levalos She'ol" (Tehilim 49:15), which is like Tzurasam.
What is the significance of being planted on water?
Radak: Therefore, it was Poriyah (refer to 19:10:5:2-3) and had long branches, because the water never ceased from under it. So Keneses Yisrael, as long as their leaders were good, it succeeded in its deeds and grew, like a vine on water.
Malbim: Shasul is what was uprooted from its place and replanted elsewhere. He wanted to leave Reshus Nebuchadnetzar to be under Reshus Pharaoh, to be fruitful from much water.
What is "Puriyah"?
Rashi: This is like "Poreh Rosh" (Devarim 29:17) - it makes fruits.
Radak #1: It grew. This is like Peru u'Rvu. Its grammatical form is like Bochiyah.
Radak #2: It makes many fruits.
What is the meaning of "Anfah"?
Radak: This is an adjective. Its branches were long.
Why does it say "mi'Mayim Rabim"?
Rashi: It means, via much water.