Carrier taking off with one bachelor aboard (7)
I believe the answer is:
minibus
'carrier' is the definition.
'taking off with one bachelor aboard' is the wordplay.
'taking off' becomes 'minus'.
'with' means one lot of letters goes inside another.
'one' becomes 'i' (Roman numeral).
'bachelor' becomes 'b' (abbreviation e.g. BA=Bachelor of Arts).
'aboard' means one lot of letters goes inside another.
'minus' going around 'i' is 'minius'.
'minius' going around 'b' is 'MINIBUS'.
(Other definitions for minibus that I've seen before include "Small coach" , "transport for children?" , "form of transport" , "Small multi-seater vehicle" , "Vehicle for up to, say, 15 passengers" .)