Hold-up man in neat LA suburb (5)
I believe the answer is:
atlas
'hold-up man' is the definition.
(Greek mythology - he held up the world)
'in neat la suburb' is the wordplay.
'in' indicates the answer is hidden within the clue.
'ATLAS' is hidden in the letters of 'neat la suburb'.
(Other definitions for atlas that I've seen before include "One of the Titans" , "Mythological Titan (involved with the world of maps?)" , "Ballistic missile" , "Cartographer's work" , "travel book" .)