The most common and most likely answer to this crossword clue is the 5 plus 5 letter word MILES APART
I've seen this crossword clue in The Times
M
I
L
E
S
A
P
A
R
T
Buddy explains!

The straight part
We know that "Nowhere near" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nowhere near = miles apart.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.