Centaur moving home is in two minds (9)
I believe the answer is:
uncertain
'is in two minds' is the definition.
I can't judge whether this definition defines the answer.
'centaur moving home' is the wordplay.
'moving' indicates an anagram.
'home' becomes 'in' ('he's home' can mean 'he's in'**).
'centaur' with letters rearranged gives 'uncerta'.
'uncerta'+'in'='UNCERTAIN'
Can you help me to learn more?
(Other definitions for uncertain that I've seen before include "Not definitely known" , "up in the air" , "dubious" , "In doubt" , "Not at all sure or decided" .)