Pick up complaint on vessel, getting chest pain (9)
I believe the answer is:
heartburn
'chest pain' is the definition.
(I've seen this before)
'pick up complaint on vessel' is the wordplay.
'pick up' becomes 'hear' (synonyms).
'complaint on' becomes 'tb' (I can't explain this - if you can you should believe this answer much more).
'vessel' becomes 'urn' (urn is a type of container).
'hear'+'tb'+'urn'='HEARTBURN'
'getting' acts as a link.
Can you help me to learn more?
(Other definitions for heartburn that I've seen before include "You'll get feeling of discomfort" , "Disorder" , "Acid indigestion" , "Painful sensation" , "Chest pain" .)