Rod is bachelor, and not stuck up (5)
I believe the answer is:
baton
'rod' is the definition.
(baton is a kind of rod)
'bachelor and not stuck up' is the wordplay.
'bachelor' becomes 'BA' (abbreviation for Bachelor of Arts degree).
'and' is a charade indicator (letters next to each other).
'stuck up' says the letters should be written backwards.
'not' backwards is 'ton'.
'ba'+'ton'='BATON'
'is' is the link.
(Other definitions for baton that I've seen before include "Conductor wields it - or a policeman" , "It's used by a conductor and a policeman" , "Club, stick" , "one watched by players" , "Light wand" .)