…Y’know, to pare it down a syllable or two?
Not that it’s exactly a very common name to begin with, but I can’t recall ever hearing a nickname for “Elliot.” And the only one I can even think of would be “Elly.” And, if I may say so, that ranks down there with “Ani” for “Anakin.”
So…any input on the subject, anyone?
Well, I have some experience in the matter, bt my last name is Dickerson, so they all take the form of:
E
E-Dick
The Big E
They all pretty much relate to the letter E.
I’ve known a few Elliots. Those with nicknames were El, Yot, T.S., and Hose. The third was a reference to a poet. The fourth was an anatomical reference. 
“Spike”.
It keeps the kid from getting beaten up at school.
How 'bout “Leo”?
Eli seems like a fairly obvious choice.
My favorite Elliot in the whole world is just “El”
Hmmm. I miss him.
I’ve heard both “El” and “Lee”.
My middle name is Elliott and for many years my nickname among my family was Elly May. I feel you pain.
El is probably the most common for people who address you often every day, like family members.