Pans set out to demonstrate suitability (7)
I believe the answer is:
aptness
'suitability' is the definition.
(aptness is a kind of suitability)
'pans set out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'pans'+'set'='pansset'
'pansset' with letters rearranged gives 'APTNESS'.
'to demonstrate' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for aptness that I've seen before include "Suitability" , "Appropriate quality" , "Fitting quality" .)