The most common and most likely answer to this crossword clue is the 4 plus 4 plus 4 letter word PAST ONES BEST
P
A
S
T
O
N
E
S
B
E
S
T
Buddy explains!
The straight part
We know that "over the hill" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case over the hill = past ones best.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.