Airman is back in line in bedlam, born to oversee vessels (5-5)

'vessels' is the definition.
(type of bath)

'airman is back in line in bedlam born to oversee' is the wordplay.
'back in' indicates one should take the final letters (the 'back' of the word).
'in bedlam' indicates an anagram (bedlam means a scene of confusion).
'born' becomes 'b'.
'to oversee' is a charade indicator (letters next to each other) (some letters go over and look down on others).
The final letter of 'line' is 'e'.
'airman'+'is'+'e'='airmanise'
'airmanise' is an anagram of 'ainsmarie'.
'ainsmarie' put after 'b' is 'BAINS-MARIE'.