Painter with lack of conveyance from the east (5)
I believe the answer is:
bacon
'painter' is the definition.
(Francis Bacon)
'with lack of conveyance from the east' is the wordplay.
'with' means one lot of letters go next to another.
'lack of' becomes 'no' (lack of money is no money).
'conveyance' becomes 'cab' (cab is a kind of conveyance**).
'from the east' says the letters should be written in reverse.
'no' next to 'cab' is 'nocab'.
'nocab' in reverse letter order is 'BACON'.
(Other definitions for bacon that I've seen before include "What the breadwinner brings home?" , "Eg, rashers" , "Dried or smoked pig meat" , "Meat (that's brought home?)" , "Cured meat from pig" .)