Respect gets on within 60 minutes (6)
I believe the answer is:
honour
'respect' is the definition.
(I know that respect can be written as honour)
'on within 60 minutes' is the wordplay.
'within' indicates putting letters inside.
'60 minutes' becomes 'hour' (synonyms).
'on' put within 'hour' is 'HONOUR'.
'gets' is the link.
(Other definitions for honour that I've seen before include "Award conferred as a mark of respect" , "prestigious award" , "Lionise" , "Deference or accolade." , "Acclaim" .)