The most common and most likely answer to this crossword clue is the 8 letter word INDIGENT
I've seen this crossword clue in The Daily Telegraph
I
N
D
I
G
E
N
T
More clues leading to the result INDIGENT
- Poor Indian chap without an article
- Poor country deserted by last fellow
- In dire need of film company dismissing English fellow
- Pauper getting jab in popular hospital department
- Poor editing spoiled gripping opening of novel
- Impoverished country lacking a good part of hospital
- Poor language principal has avoided, well-bred chap
- Needy US soldier turned up, splitting in depression
- Destitute, one tending to wander
- Country without a man that’s impoverished
Buddy explains!

The straight part
We know that "Very poor" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case very poor = indigent.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 INDIGENT mean?
INDIGENT noun- A person in need, or in poverty.
- Poor; destitute; in need.
- Utterly lacking or in need of something specified.