There's a lot of potential relationships going around in the current Magic story. Some of them are more likely than others. Sometimes by a lot. Let's take a look. (This is going to be a long one, folks.)
Chandra/Liliana: The card that was brought up to support this ship is Diabolic Tutor from the set "Kaladesh":
That's some great art right there, and it definitely says something. I could see that being fuel for a ship. If you read the story, you actually find that Liliana is like Chandra's cool older cousin or maybe her shoulder!Devil; pushing her to play by her own rules and be the most free version of herself. That picture is followed immediately by them going out dancing, drinking, and punching city guards in the face. It was a good time.
However, their good times were short lived. By the time "Aether Revolt" rolled around (three months later) they were barely interacting at all. "Amonkhet", again, saw little to no interaction between these two. I'm really not sure what story you are talking about, but I think you might have mistaken Liliana for Nissa, who does interact with Chandra quite a bit.
Phobos's Rating: Fun but unlikely
Chandra/Nissa: During the events of "Oath Of The Gatewatch" Chandra and Nissa became close. Not in any traditional shipping sense, though. Their minds touched while they poured all of their magic into killing what amounted to two Elder Gods. For one brief moment, Chandra felt the calm of Nissa's mind. This was new and different for Chandra who, being the exemplar of Red magic, is basically ADHD-made-flesh. It had a profound effect on her.
Fast forward to the beginning of "Kaladesh"; Chandra is screwing up everything. She can't seem to do anything right because she is so hasty. What is she supposed to do? Then she thinks back on that moment and it occurs to her that Nissa could help her find that inner calm, again. So she seeks her out in the garden (Nissa is the Green mage, so that is where she basically lives). There is a brief conversation that...well...it goes poorly. See, Chandra is stuck in her own head thinking about how she must be screwing this up, too. At the same time, Nissa doesn't understand how to people. She's a hermit who talks to plants, animals, and anthropomorphic personifications of whole planets. So, Chandra starts trying to explain what she wants in a wild, meandering way that ends with her running out and Nissa, who hasn't really said a word at this point, wondering what she did wrong.
When Chandra eventually runs off to Kaladesh with Liliana (for the aforementioned drinking and guard punching) Nissa volunteers to go after them and bring them back. It is her hope that she can atone for whatever mistake she made in that earlier conversation. When she does catch up to them, she joins Chandra in a quest to find her mom, while Liliana goes off on her own.
Through the end of "Kaladesh" and "Aether Revolt", Nissa is the one who has Chandra's back when things get bad. When Chandra's power is running out of control and she is on the fast track to going supernova, it is Nissa that steps in to help her focus and regain control. And in the end, there is this scene:
Nissa swallowed past the desert in her throat. "I don't speak often. I lived alone for...decades. Zendikar was my companion. We understood each other at a level deeper than words. I...I don't know how to talk to you. I'm trying to learn."
Chandra looked up, eyes wide and startled. "You don't know how to talk to me?"
"I will make mistakes," Nissa said. "Pick the wrong words. Misunderstand yours. I'll act strange and won't know that I am. But if you can be patient with me, I would like to be..." Waves of sky-song memory welled upward, symphonies of color and warmth, resonant movement and shared breath. She stilled them, reduced them, and forced out angular words shaped in a pallid shadow of acceptable truth. "...your friend."
Which is followed shortly by this:
Carefully, Nissa lifted Chandra's radiant featherweight, and maneuvered so she could rest her head across her lap. Chandra stirred in her sleep, turning on to her side and curling up, pulling her knees to her chest and her hands to her face. Then her lips parted, and industrial snores pealed across the platform.
[...]
Nissa guarded Chandra's sleep.
It felt right.
Their relationship continues to deepen during "Amonkhet" with this exchange:
"Thank you for accompanying me this morning, Chandra."
"Nowhere else I'd rather be." Chandra fiddled with the straps on her vambrace, her eyes darting in Nissa's direction. An involuntary smile flitted across her face—a blush, an inescapable dash of sentiment.
Nissa scoffed. "I can think of at least twenty places I would rather be than Amonkhet."
Chandra's smile turned plain and she looked down.
The two sat in semi-silence, comfortable for one and fraught with unspoken words for the other. Nissa took a breath, allowing the churn of the fountain and the cool shade above to her soothe her nerves. Chandra kept her eyes focused on her buckle.
"I've never spent so long in cities before," Nissa said. "Between Kaladesh and here, I've had more than my share of people."
"You seem to be getting along fine," Chandra replied.
Nissa shook her head. "I have gotten better at hiding my discomfort. Being around others so often is draining."
"But not with us, right?"
The question caught Nissa's attention. She watched Chandra intently unbuckle and rebuckle the same strap of her vambrace.
Nissa frowned. Thought over her words. "Yes and no."
Fiddling hands paused, while a meandering mind searched for the words to lend shape to unfamiliar feelings.
"Friendship with all of the Gatewatch is still quite new. I'm still trying to understand what it means to have friends in the first place," Nissa said.
Chandra made a small noise and looked out on the plaza, her posture heavy and leaden, her fingers suddenly quite still.
Nissa continued. "On Zendikar, I was without the company of people for most of my life. The plane was the closest thing to a friend I had. Learning to trust has been . . . slow—and there is still much for me to learn. Understanding and sustaining friendships is daunting when one has never really done it before."
Chandra shifted awkwardly. "So . . . friendship?"
Chandra seems disappointed in how that exchange went, doesn't she? But that's the thing, isn't it? Nissa would have no idea that Chandra is disappointed, and Chandra is too nervous to just come out and say anything about it. There's an awkward "will they; won't they" kind of dynamic. Chandra is definitely crushing, but I don't think Nissa understands enough to acknowledge it, let alone reciprocate.
Phobos's Rating: I ship it.
Now, I could go on, believe me. There's at least three other relationships to cover beyond these ones. However, I've already spent two days researching and getting my references together and I should have been working on a blog post instead. If anyone is interested in my analysis of the rest, I can get back to it after this weekend.
-Phobos