Centaur off home is in two minds (9)
I believe the answer is:
uncertain
'is in two minds' is the definition.
I can't tell whether this defines the answer.
'centaur off home' is the wordplay.
'off' indicates an anagram.
'home' becomes 'in' ('he's home' can mean 'he's in').
'centaur' anagrammed gives 'uncerta'.
'uncerta'+'in'='UNCERTAIN'
Can you help me to learn more?
(Other definitions for uncertain that I've seen before include "Not completely confident or sure of" , "Changeable" , "Not convinced" , "dubious" , "in the lap of the gods" .)