It appears we have the responsibility (4)
I believe the answer is:
onus
'the responsibility' is the definition.
(onus is a duty or responsibility)
'it appears we' is the wordplay.
'it appears' becomes 'on' (I can't explain this - if you can you should believe this answer much more).
'we' becomes 'us'.
'on'+'us'='ONUS'
'have' is the link.
Can you help me to learn more?
(Other definitions for onus that I've seen before include "'Burden, load (4)'" , "'Responsibility, task or burden (4)'" , "Duty or responsibility" , "albatross?" , "Obligation - charge" .)