The most common and most likely answer to this crossword clue is the 4 plus 8 letter word SHOE REPAIRER
I've seen this crossword clue in The Daily Telegraph
S
H
O
E
R
E
P
A
I
R
E
R
Buddy explains!
The straight part
We know that "One puts things right at last" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one puts things right at last = shoe repairer.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.