Crew set about hauling in new painter (5)

I believe the answer is:
manet
'painter' is the definition.
(I've seen this before)
'crew set about hauling in new' is the wordplay.
'crew' becomes 'man' (both can mean to staff or operate something).
'set about' shows that the letters should be reversed in order.
'hauling in new' becomes 'te' (I can't justify this - if you can you should give a lot more credence to this answer).
'te' backwards is 'et'.
'man'+'et'='MANET'
Can you help me to learn more?
(Other definitions for manet that I've seen before include "Edouard ___, painted Dejeuner sur l'herbe, d. 1883" , "Painter of Le Dejeuner sur l'herbe, d. 1883" , "Olympia artist" , "artistic individual" , "French painter" .)