Underground place maybe giving topless humiliation (8)
I believe the answer is:
basement
'underground place' is the definition.
'topless humiliation' is the wordplay.
'topless' means to remove the first letter.
'humiliation' becomes 'abasement' (abasement is a kind of humiliation).
'abasement' with its first letter removed is 'BASEMENT'.
'maybe giving' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for basement that I've seen before include "Room at the bottom" , "Underground area of building" , "Beats men up in cellar" , "space below stairs" , "Part of house below ground" .)