The most common and most likely answer to this crossword clue is the 10 letter word WRISTWATCH
I've seen this crossword clue in The Sunday Telegraph
W
R
I
S
T
W
A
T
C
H
Buddy explains!
The straight part
We know that "Timepiece that, on the other hand, can be digitally adjusted" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case timepiece that, on the other hand, can be digitally adjusted = wristwatch.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 WRISTWATCH mean?
WRISTWATCH noun- A watch that is worn on a strap or band fastened around the wrist