The most common and most likely answer to this crossword clue is the 7 letter word EPITAPH
I've seen this crossword clue in Financial Times
E
P
I
T
A
P
H
More clues leading to the result EPITAPH
- Final word mine in each pub
- A grave message?
- Last words of mine in each quiet hour
- What about mine? A quiet final tribute
- Inscription from untidy heap covering bed?
- Hat and pipe mislaid – in the cemetery?
- What’s said on passing around hat and pipe
- Mine’s found in an untidy heap with an inscription
- Deadlines
- “Goodbye Porkpie Hat” or “1,000 lost, sadly”?
Buddy explains!

The straight part
We know that "an inscription" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case an inscription = epitaph.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 EPITAPH mean?
EPITAPH noun- An inscription on a gravestone in memory of the deceased.
- A poem or other short text written in memory of a deceased person.
- To write or speak after the manner of an epitaph.
- To commemorate by an epitaph.