The most common and most likely answer to this crossword clue is the 4 plus 2 plus 3 plus 3 letter word EASY ON THE EYE
I've seen this crossword clue in Financial Times
E
A
S
Y
O
N
T
H
E
E
Y
E
Buddy explains!
The straight part
We know that "Extremely nice to see" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case extremely nice to see = easy on the eye.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.