The most common and most likely answer to this crossword clue is the 15 letter word PARENTHETICALLY
I've seen this crossword clue in The Times
P
A
R
E
N
T
H
E
T
I
C
A
L
L
Y
Buddy explains!
The straight part
We know that "(like this)" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case (like this) = parenthetically.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.