Topless woman in lift? (4)
I believe the answer is:
ride
'lift?' is the definition.
(lift is a kind of ride)
'topless woman' is the wordplay.
'topless' means to remove the first letter.
'woman' becomes 'bride'.
'bride' with its initial letter taken away is 'RIDE'.
'in' is the link.
(Other definitions for ride that I've seen before include "Fairground attraction; go on horseback" , "Travel (on a bike, perhaps)" , "Take journey" , "Jaunt" , "Travel, by horse say" .)