Desire to move baton, result being different (10)
I believe the answer is:
wanderlust
'desire to move' is the definition.
(longing to travel)
'baton result being different' is the wordplay.
'baton' becomes 'wand' (wand is a kind of baton).
'being different' indicates anagramming the letters.
'result' is an anagram of 'erlust'.
'wand'+'erlust'='WANDERLUST'
(Other definitions for wanderlust that I've seen before include "Restlessness" , "Strong desire to travel" , "Urge to travel" , "Great desire to travel" , "travel bug" .)