Inclination to destroy spider place (14)
I believe the answer is:
predisposition
'inclination' is the definition.
(predisposition is a kind of inclination)
'destroy spider place' is the wordplay.
'destroy' indicates an anagram (I've seen this in other clues).
'place' becomes 'position' (positioning is a kind of placing).
'spider' is an anagram of 'predis'.
'predis'+'position'='PREDISPOSITION'
'to' is the link.
(Other definitions for predisposition that I've seen before include "A tendency (to do something)" , "Bent" , "An already existing inclination" , "Existing inclination (to react in a certain way)" , "Prior inclination (towards something)" .)