The most common and most likely answer to this crossword clue is the 10 plus 5 letter word BIOLOGICAL CLOCK
I've seen this crossword clue in The Daily Telegraph
B
I
O
L
O
G
I
C
A
L
C
L
O
C
K
Buddy explains!
The straight part
We know that "One could show a woman the time of her life" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one could show a woman the time of her life = biological clock.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.