The most common and most likely answer to this crossword clue is the 10 letter word REMARRIAGE
I've seen this crossword clue in The Daily Telegraph
R
E
M
A
R
R
I
A
G
E
More clues leading to the result REMARRIAGE
Buddy explains!

The straight part
We know that "Second match" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case second match = remarriage.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.
What does REMARRIAGE mean?
REMARRIAGE noun- A second or subsequent marriage