Offensive President, out on a limb, to be contained (10)
I believe the answer is:
abominable
'offensive' is the definition.
(thesaurus)
'president out on a limb to be contained' is the wordplay.
'president' becomes 'abe' (Abraham (Abe) Lincoln**).
'out' is an anagram indicator.
'to be contained' indicates putting letters inside.
'on'+'a'+'limb'='onalimb'
'onalimb' with letters rearranged gives 'ominabl'.
'abe' placed around 'ominabl' is 'ABOMINABLE'.
(Other definitions for abominable that I've seen before include "Odious" , "Very bad, terrible" , "Hateful" , "Causing moral revulsion" , "Atrocious" .)