Raised objections, seeing fag end (4)
I believe the answer is:
stub
'fag end' is the definition.
(I've seen this before)
'raised objections' is the wordplay.
'raised' shows that the letters should be reversed in order (going up in a down clue).
'objections' becomes 'buts' (as in 'no ifs, no buts').
'buts' in reverse letter order is 'STUB'.
'seeing' acts as a link.
(Other definitions for stub that I've seen before include "Strike against hard object - one's toe, perhaps" , "this pollution by smoker?" , "Fag-end of cigerette or cheque counterfoil" , "Short pencil remnant" , "Strike one's toe accidentally (against something)" .)