The most common and most likely answer to this crossword clue is the 8 letter word CLARSACH
C
L
A
R
S
A
C
H
More clues leading to the result CLARSACH
Buddy explains!

The straight part
We know that "Old harp" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case old harp = clarsach.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 CLARSACH mean?
CLARSACH noun- A small triangular wire-strung harp of Gaelic origin; a Celtic harp.