The most common and most likely answer to this crossword clue is the 10 letter word NO-ACCOUNT
I've seen this crossword clue in Financial Times
N
O
-
A
C
C
O
U
N
T
More clues leading to the result NO-ACCOUNT
Buddy explains!

The straight part
We know that "of little use" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of little use = no-account.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 NO-ACCOUNT mean?
NO-ACCOUNT adjective- Of no value or merit; good-for-nothing; of no account.