The elephant has a bit of a foot (4)
I believe the answer is:
heel
'a foot' is the definition.
(thesaurus)
'the elephant has a bit' is the wordplay.
'a bit' indicates the answer is hidden within the clue (the answer is formed by a bit of the clue).
'HEEL' is hidden in the letters of 'the elephant has'.
'of' acts as a link.
(Other definitions for heel that I've seen before include "Rogue" , "Scoundrel - list - shoe part" , "Call to dog" , "See 21" , "See 1 down" .)