Have a home not left to turn dirty (4)
I believe the answer is:
lewd
'dirty' is the definition.
(similar in meaning)
'have a home not left to turn' is the wordplay.
'have a home' becomes 'dwell' (to dwell is to reside somewhere).
'not' suggests deleting specific letters.
'left' becomes 'l' (common abbreviation).
'to turn' is a reversal indicator.
'dwell' with 'l' taken out is 'dwel'.
'dwel' written backwards gives 'LEWD'.
(Other definitions for lewd that I've seen before include "Indecent, licentious" , "Obscene - lustful - sensual" , "Licentious or obscene" , "Salacious" , "Indecent and vulgar (4)" .)