The most common and most likely answer to this crossword clue is the 6 letter word MINUTE
I've seen this crossword clue in The Guardian
M
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More clues leading to the result MINUTE
Buddy explains!

The straight part
We know that "Second" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case second = minute.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 MINUTE mean?
MINUTE noun- A unit of time equal to sixty seconds (one-sixtieth of an hour).
- A short but unspecified time period.
- A unit of angle equal to one-sixtieth of a degree.
- (chiefly in the plural, minutes) A (usually formal) written record of a meeting or a part of a meeting.
- A unit of purchase on a telephone or other network, especially a cell phone network, roughly equivalent in gross form to sixty seconds' use of the network.
- A point in time; a moment.
- A nautical or a geographic mile.
- An old coin, a half farthing.
- A very small part of anything, or anything very small; a jot; a whit.
- A fixed part of a module.
- A while or a long unspecified period of time
- Of an event, to write in a memo or the minutes of a meeting.
- To set down a short sketch or note of; to jot down; to make a minute or a brief summary of.
- Very small.
- Very careful and exact, giving small details.