The most common and most likely answer to this crossword clue is the 12 letter word MAXIMISATION
I've seen this crossword clue in The Guardian
M
A
X
I
M
I
S
A
T
I
O
N
Buddy explains!
The straight part
We know that "Making the most/Making the most" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case making the most/making the most = maximisation.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.