The most common and most likely answer to this crossword clue is the 5 letter word LAMIA
I've seen this crossword clue in The Times
L
A
M
I
A
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The straight part
We know that "Vampire" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case vampire = lamia.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 LAMIA mean?
LAMIA noun- A monster preying upon human beings and who sucked the blood of children, often described as having the head and breasts of a woman and the lower half of a serpent.