Property you might come into seeing their canine barking (11)
I believe the answer is:
inheritance
'property' is the definition.
(inheritance is a kind of property)
'their canine barking' is the wordplay.
'barking' indicates anagramming the letters ('barking' can informally mean mad).
'their'+'canine'='theircanine'
'theircanine' is an anagram of 'INHERITANCE'.
'you might come into seeing' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for inheritance that I've seen before include "target of 17, 8 [CHANCELLORS STATEMENT]" , "Item received through a will" , "Things handed down" , "succession" , "Something handed down" .)