Unhealthy announcement of further offer (6)
I believe the answer is:
morbid
'unhealthy' is the definition.
(similar in meaning)
'further offer' is the wordplay.
'further' becomes 'mor' (I can't explain this - if you can you should give a lot more credence to this answer).
'offer' becomes 'bid' (bid is a kind of offer).
'mor'+'bid'='MORBID'
'announcement of' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for morbid that I've seen before include "Macabre" , "Showing an unnatural interest in death and disease" , "Sickly, unwholesome" , "Diseased - gruesome" , "Displaying an unhealthy interest in death" .)