No rise, oddly, for one of higher rank (6)
I believe the answer is:
senior
'one of higher rank' is the definition.
(a higher-ranking person)
'no rise oddly' is the wordplay.
'oddly' indicates anagramming the letters.
'no'+'rise'='norise'
'norise' with letters rearranged gives 'SENIOR'.
'for' is the link.
(Other definitions for senior that I've seen before include "Elder person - higher in rank" , "Denoting older people" , "High-ranking" , "High in rank" , "Elder (of two)" .)