Odd editor gets up to object (5)
I believe the answer is:
demur
'object' is the definition.
(to demur is to object to something)
'odd editor gets up' is the wordplay.
'odd' becomes 'rum' (rum can mean strange or dubious).
'editor' becomes 'ed' (abbreviation).
'gets up' says the letters should be written in reverse.
'rum'+'ed'='rumed'
'rumed' in reverse letter order is 'DEMUR'.
'to' is the link.
(Other definitions for demur that I've seen before include "Cavil, dispute" , "Protest mildly, object" , "Dissent, object" , "Waver" , "Balk" .)