The most common and most likely answer to this crossword clue is the 8 letter word UNDERFED
I've seen this crossword clue in The Times
U
N
D
E
R
F
E
D
Buddy explains!

The straight part
We know that "having inadequate supply" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case having inadequate supply = underfed.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 UNDERFED mean?
UNDERFED adjective- Inadequately fed.
- To feed inadequately or insufficiently