Doggedness is derived from its presence (11)
I believe the answer is:
persistence
'doggedness' is the definition.
(I know that doggedness can be written as persistence)
'derived from its presence' is the wordplay.
'derived from' is an anagram indicator.
'its'+'presence'='itspresence'
'itspresence' is an anagram of 'PERSISTENCE'.
'is' acts as a link.
(Other definitions for persistence that I've seen before include "Dogged quality" , "Resolution" , "Refusal to accept refusal" , "Tenacity" , "Obstinacy, perseverance" .)