Bringing container up leads to objection (3)
I believe the answer is:
but
'objection' is the definition.
'bringing container up leads to' is the wordplay.
'bringing container up' becomes 'bu' (I can't justify this - if you can you should give a lot more credence to this answer).
'leads' indicates taking the first letters (I've seen 'leading' mean this).
The initial letter of 'to' is 't'.
'bu'+'t'='BUT'
(Other definitions for but that I've seen before include "SECOND PART OF 10" , "Only in attribution" , "Nevertheless, on the other hand" , "On the contrary" , "Conjunction meaningn on the other hand" .)