Warning after mad bid's oddly abandoned for corporation (7)
I believe the answer is:
abdomen
'corporation' is the definition.
(I've seen this before)
'warning after mad bid's oddly abandoned' is the wordplay.
'warning' becomes 'omen' (omen can mean a warning or sign of the future).
'after' says to put letters next to each other.
'oddly abandoned' indicates alternate letters (letters in odd-numbered positions removed).
'mad'+'bids'='madbids'
The alternate letters of 'madbids' are 'abd'.
'omen' after 'abd' is 'ABDOMEN'.
'for' is the link.
(Other definitions for abdomen that I've seen before include "Part of body containing the stomach" , "Mean bod (anag.)" , "4 part of insect" , "Insect's body part" , "Central region" .)