He has no power to go over people's heads, but does! (6,5)

'he has no power' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'go over people's heads but does' is the wordplay.
I cannot quite see how this works, but
'go' could be 'glide' (gliding is a kind of going) and 'glide' is found in the answer.
'over' could be 'o' (cricket abbreviation) and 'o' is located in the answer.
This may be the basis of the clue (or it may be nonsense).

'to' is the link.

Can you help me to learn more?