The most common and most likely answer to this crossword clue is the 5 letter word ELLIS
I've seen this crossword clue in The Guardian
E
L
L
I
S
More clues leading to the result ELLIS
- Boy or girl’s name turning up in lists, illegible
- Doubly hard to leave diabolical island
- For cockney existentialist, other people will follow this literary 1
- Dropping aitches is extremely bad for him
- What sex expert offers isn’t complete drivel — listen!
- Well I suppose having odd-shaped balls made him famous!
- New York island is well isolated in part
- New York island is hellish without boundaries
- Hellish center for immigration?
- Designer Perry’s selection of embellishments
Buddy explains!

The straight part
We know that "this literary 1/this literary 1" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case this literary 1/this literary 1 = ellis.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.