Thickest relative has falcon (7)
I believe the answer is:
kestrel
'falcon' is the definition.
(kestrel is a kind of falcon)
'thickest relative has' is the wordplay.
'has' indicates a hidden word.
'KESTREL' is hidden within 'thickest relative'.
(Other definitions for kestrel that I've seen before include "High flier" , "Predator" , "Small species of falcon" , "Falcon that hovers" , "Falco tinnuculus" .)