Prince Henry taken into vehicle by aliens, oddly vanishing (7)
I believe the answer is:
charles
'prince' is the definition.
(Prince Charles)
'henry taken into vehicle by aliens oddly vanishing' is the wordplay.
'henry' becomes 'H' (symbol for the unit of electrical inductance).
'taken into' means one lot of letters goes inside another.
'vehicle' becomes 'car' (car is a kind of vehicle).
'by' is a charade indicator (letters next to each other).
'oddly vanishing' means one should take alternating letters (letters in odd-numbered positions removed).
The alternate letters of 'aliens' are 'les'.
'h' put within 'car' is 'char'.
'char'+'les'='CHARLES'
(Other definitions for charles that I've seen before include "- Kingsley (The Water Babies)" , "Possible name" , "King beheaded in 1649" , "Prague bridge; two Eng. kings" , "-- Darwin; -- Kingsley" .)