The most common and most likely answer to this crossword clue is the 8 letter word DISINTER
I've seen this crossword clue in Financial Times
D
I
S
I
N
T
E
R
More clues leading to the result DISINTER
Buddy explains!

The straight part
We know that "Dig up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dig up = disinter.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 DISINTER mean?
DISINTER verb- To take out of the grave or tomb.
- To bring out, as from a grave or hiding place; to bring from obscurity into view.