The most common and most likely answer to this crossword clue is the 11 letter word PERSONALISE
I've seen this crossword clue in The Daily Telegraph
P
E
R
S
O
N
A
L
I
S
E
Buddy explains!
The straight part
We know that "Make one’s own" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case make one’s own = personalise.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.
Crossword Answer definitions
PERSONALISE verb- To adapt something to the needs or tastes of an individual
- To represent something abstract as a person; to embody