The most common and most likely answer to this crossword clue is the 10 letter word ECHINODERM
I've seen this crossword clue in Financial Times
E
C
H
I
N
O
D
E
R
M
Buddy explains!

The straight part
We know that "spineless animal" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case spineless animal = echinoderm.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 ECHINODERM mean?
ECHINODERM noun- An animal of the phylum Echinodermata, comprising radially symmetric, spiny-skinned marine animals including seastars, sea urchins, sea cucumbers, crinoids, and sand dollars.