Introduction
This review is in response to the kind request for review. I'll do my best to provide useful comments to allow us both to become better authors. First of all, remember, you are the author and have ultimate say. Any suggestions are meant to be suggestive and not proscriptive.
Some Copy and Story Editing will be done as well as a review. If I explain a grammar rule or give a suggestion once, I will often skip additional occurrences of the same consideration.

First Impressions
Seems a first draft, YA novella. You need a hook in the first few paragraphs to keep your reader's interest. The hook I see is wondering what happened in his black out period and later revelation of the frequent nature of his black out periods.

Suggestions
Please review the instructions for posting entries on WDC. It doesn't bother me but some people are picky. Double spacing between paragraphs is expected for ease of reading and reviewing.

Elliot Jones was woken by the buzz of his cellphone. Having lately only served as a clock and a music player, the unexpectedness of the impending phone got his mind awake and wondering, and a jilt of fear he had grown too accustomed to ran through his body. The phone still going on on the nightstand, he ran his hands over his body, searching it for bruises or cuts; signs that he had been in a fight. Not finding any, he tried to think back to whom he might have run into last night, but couldn't draw up a single face. The best he tried, his last memory was slamming that one last shot before leaving his house with no particular plan in mind. He took a long breath, trying to draw comfort from the fact that he had somehow made it back to his bed, and he had even managed to take off his clothes before passing out. Also, though he could not see his wallet, at least his phone had made it back home as well.
The first sentence is a run-on. Separate the independent clauses either as sentences of their own or joined properly with a semicolon. The statement describing the cell phone's use needs to be connected to the first sentence to avoid confusion. Avoid using inflated words such as unexpectedness and impending. Use simpler and more direct words. Avoid wordiness by removing redundant, or words that do not add to the sentence meaning. Try reading your paragraph out loud to yourself. You will hear many of the problems.

It is mine, and WDC's policy, not to rewrite another author's work. A small exception would be good here. This is only and example of all of the suggestions combined. You will need to decide how to handle this in your next draft.
Consider: The buzz of his cellphone woke Elliot Jones from a heavy sleep. He was startled awake and began wondering as his phone had served only as a clock and music player lately. He felt a familiar fear as the phone continued it's buzzing. Elliot's last memory was slamming down that last shot before leaving the house. He checked his body and found no bruises or cuts that would indicate a fight the night before. Breathing easier, he was further relieved that he had undressed and climbed into bed before passing out. Elliot glanced around, at lease his phone had made it back even if he wasn't sure about his wallet.
There are fifty less words, yet the paragraph is more concise and powerful.

Research paragraphing in dialogue. A new paragraph is required whenever the actions or dialogue changes to another person. If the actions and dialogue is from the same person, you do not need to start a new paragraph. For example, let's paragraph the first few lines of the phone call and add a little dialogue attribution for clarity. I also noticed you would refer to Elliot's mother as, "her mother," instead of, "his mother." I fixed that hoping the Elliot is male. I removed the cliche' phrase, "skin of his teeth," in addition to some unnecessary words.

Consider: His mothers preppy voice blasted through the phone, “Hey! Happy birthday!”
It took Elliot a moment for those words to make sense. “Oh, yeah, thank you.” He let himself fall back in bed, fearing he might throw up otherwise.
“You're not still sleeping are you?", his mother asked. "It's almost noon.”
Elliot looked at the thick curtains that hid the sun. That's why he felt so sick, he was up far earlier than usual. “Ah, no, just a bit tired.”
“Oh yeah? Did some early celebrating?”
“Yeah, a bit.”
“Didn't get into trouble did you?” Her mothers voice was joyful having no idea of the troubles Elliot had barely avoided and he hoped she would never find out.
“No, all is good.” He did her best to sound truthful.
“That's great, hey, your father want's to talk.”
The phone was handed over. Elliot used the moment to take a sip of water. It felt almost rejuvenating.
“Hey Elliot, happy birthday!" his father said.

I like the line at the end of the first scene about there not being a seventeenth birthday. As a reader, I found myself confused. At sixteen, Elliot would be in High School still. Why then, would he not be living with his parents? An obvious answer is that Elliot is in a boarding school. That is a guess on my account. You might consider providing that information in the narration unless you want the reader wondering. It is your story and is totally up to you.

The hollowness in him neatened,[WHAT?] and blowing out all the smoke he had inhaled, he looked over his shoulder to the room more clean that it had ever been before.
More wordiness. Consider: The hollowness returned. Blowing out the smoke, he looked over his shoulder at the almost spotless room.
Thirteen fewer words and more concise.

A couple of points about the last scene. Blackouts cannot be predicted or expected to follow patterns. Also, the absence of a body at the base of the water tower would not prove anything since it had been twelve to eighteen hours since she would have died. Long enough for the police and fire department to have cleaned the site and removed the body.

Final Thoughts
This story has great potential. It left me wondering what was going to happen next. I can try to guess where it is going to go, but I'm sure you are full of surprises. I would be interested in reading your next draft and more of the story. No matter how good the idea, writing is hard work. Best Seller authors often mention the ten manuscripts in the back of their cupboard they wrote while learning. The MOST important thing for an aspiring writer to do is: READ A LOT and WRITE A LOT. We learn skills and the methods that work from BOTH of these tasks.
Another suggestion is to read this out loud to another or at least yourself. When you read, follow what you wrote exactly and you will find many of the common errors, both story and grammar. I encourage you to keep at it. You have the necessary talent so you will do just fine.



My review has been submitted for consideration in "Good Deeds Get CASH!" .