Claim has no centre and lacks depth (6)
I believe the answer is:
allege
'claim' is the definition.
(to allege something is to make a claim)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for allege that I've seen before include "Declare or accuse without proof" , "Declare or assert without proof" , "Claim, suggest" , "Declare without being able to prove" , "hold" .)