The most common and most likely answer to this crossword clue is the 7 plus 4 plus 1 letter word READING DESK I
R
E
A
D
I
N
G
D
E
S
K
I
Buddy explains!
The straight part
We know that "Can you stand to peruse a book here?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case can you stand to peruse a book here? = reading desk i.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.