Go on to higher things (5)
I believe the answer is:
climb
'go' is the definition.
(thesaurus)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for climb that I've seen before include "Get higher" , "showing the way up" , "Get a rise" , "Ascend, escalate" , "Scale or clamber" .)